496 (number)

496 (four hundred [and] ninety-six) is a natural number. It is after 495 and before 497.

In mathematics
496 is the third perfect number. 496 is also a harmonic divisor number. This is because the number of proper divisors of 496 divided by the sum of the reciprocals of its divisors, 1, 2, 4, 8, 16, 31, 62, 124, 248 and 496 (the harmonic mean) is an integer.

496 is also a triangular number, hexagonal number and a centered nonagonal number. It is also the largest happy number less than 500.

There is no solution to the equation φ(x) = 496. This means that 496 is a nontotient.

 References 

Category:Integers