An agricultural machinery pneumatic tire comprising: a left and right pair of bead portions that are provided on each side of a tire equatorial plane CL; a bead core that is embedded in each of the bead portions; a carcass that is formed of at least one carcass ply including a main body portion spanning from one of the bead cores to another of the bead cores, and a folded-back portion folded back from a tire radial direction inside toward a tire radial direction outside about each of the bead cores; a side rubber layer disposed at a tire width direction outside of the carcass; and bead filler that is disposed between the main body portion and the folded-back portion, that extends tapering from the bead cores toward the tire radial direction outside, and that is formed of a rubber set with a higher modulus at 100% elongation than a rubber configuring the side rubber layer; characterised in that the pneumatic tire further comprises: a bent face portion that is formed at the bead portions so as to face a flange of a rim and that is formed in a recessed shape as viewed in a tire width direction cross-section; a side reinforcing rubber layer that is disposed at the tire width direction outside of the carcass, that includes the bent face portion and extends from the bent face portion toward the tire radial direction outside, and that is formed of a rubber set with a higher modulus at 100% elongation than the rubber configuring the side rubber layer; a shock-absorbing rubber layer that is provided between the side reinforcing rubber layer and the carcass and that is formed of a rubber set with a lower modulus at 100% elongation than the rubber configuring the side reinforcing rubber layer; and a recessed portion that, in a mounted position in which the tire is mounted to an applicable rim and inflated to a maximum air pressure in an unladen state and as viewed in a tire width direction cross-section, has a maximum depth portion Dmax disposed at an outer face of the side rubber layer, between a normal line HL1 that passes through a maximum width position P, P being a maximum width position of the main body portion, and is orthogonal to a tangent line of a tire outer outline, and a normal line HL2 that passes through a tire radial direction outside end of the bead filler and is orthogonal to a tangent line of the tire outer outline. a left and right pair of bead portions that are provided on each side of a tire equatorial plane CL; a bead core that is embedded in each of the bead portions; a carcass that is formed of at least one carcass ply including a main body portion spanning from one of the bead cores to another of the bead cores, and a folded-back portion folded back from a tire radial direction inside toward a tire radial direction outside about each of the bead cores; a side rubber layer disposed at a tire width direction outside of the carcass; and bead filler that is disposed between the main body portion and the folded-back portion, that extends tapering from the bead cores toward the tire radial direction outside, and that is formed of a rubber set with a higher modulus at 100% elongation than a rubber configuring the side rubber layer; a bent face portion that is formed at the bead portions so as to face a flange of a rim and that is formed in a recessed shape as viewed in a tire width direction cross-section; a side reinforcing rubber layer that is disposed at the tire width direction outside of the carcass, that includes the bent face portion and extends from the bent face portion toward the tire radial direction outside, and that is formed of a rubber set with a higher modulus at 100% elongation than the rubber configuring the side rubber layer; a shock-absorbing rubber layer that is provided between the side reinforcing rubber layer and the carcass and that is formed of a rubber set with a lower modulus at 100% elongation than the rubber configuring the side reinforcing rubber layer; and a recessed portion that, in a mounted position in which the tire is mounted to an applicable rim and inflated to a maximum air pressure in an unladen state and as viewed in a tire width direction cross-section, has a maximum depth portion Dmax disposed at an outer face of the side rubber layer, between a normal line HL1 that passes through a maximum width position P, P being a maximum width position of the main body portion, and is orthogonal to a tangent line of a tire outer outline, and a normal line HL2 that passes through a tire radial direction outside end of the bead filler and is orthogonal to a tangent line of the tire outer outline.