496957311 has 48 divisors (see below), whose sum is σ = 811848960. Its totient is φ = 291271680.

The previous prime is 496957289. The next prime is 496957337. The reversal of 496957311 is 113759694.

496957311 is a `hidden beast` number, since 4 + 9 + 69 + 573 + 11 = 666.

It is not a de Polignac number, because 496957311 - 2¹³ = 496949119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496957381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135741 + ... + 139353.

It is an arithmetic number, because the mean of its divisors is an integer number (16913520).

Almost surely, 2^496957311 is an apocalyptic number.

496957311 is a deficient number, since it is larger than the sum of its proper divisors (314891649).

496957311 is a wasteful number, since it uses less digits than its factorization.

496957311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 3693 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 496957311 is about 22292.5393573725. The cubic root of 496957311 is about 792.0872598607.

The spelling of 496957311 in words is "four hundred ninety-six million, nine hundred fifty-seven thousand, three hundred eleven".