496564992 has 360 divisors, whose sum is σ = 1851962112. Its totient is φ = 128563200.

The previous prime is 496564987. The next prime is 496565023. The reversal of 496564992 is 299465694.

It is a happy number.

496564992 is a `hidden beast` number, since 496 + 5 + 64 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1596517 + ... + 1596827.

Almost surely, 2^496564992 is an apocalyptic number.

496564992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496564992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925981056).

496564992 is an abundant number, since it is smaller than the sum of its proper divisors (1355397120).

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

496564992 is a wasteful number, since it uses less digits than its factorization.

496564992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 334 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 496564992 is about 22283.7382860237. The cubic root of 496564992 is about 791.8787693231.

The spelling of 496564992 in words is "four hundred ninety-six million, five hundred sixty-four thousand, nine hundred ninety-two".