496762656 has 144 divisors (see below), whose sum is σ = 1436236704. Its totient is φ = 150239232.

The previous prime is 496762603. The next prime is 496762687. The reversal of 496762656 is 656267694.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 496762599 and 496762608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1086780 + ... + 1087236.

It is an arithmetic number, because the mean of its divisors is an integer number (9973866).

Almost surely, 2^496762656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496762656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718118352).

496762656 is an abundant number, since it is smaller than the sum of its proper divisors (939474048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

496762656 is a wasteful number, since it uses less digits than its factorization.

496762656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 542 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 51.

The square root of 496762656 is about 22288.1730072252. The cubic root of 496762656 is about 791.9838278506.

The spelling of 496762656 in words is "four hundred ninety-six million, seven hundred sixty-two thousand, six hundred fifty-six".