496764576 has 480 divisors, whose sum is σ = 1931973120. Its totient is φ = 121305600.

The previous prime is 496764563. The next prime is 496764581. The reversal of 496764576 is 675467694.

496764576 is a `hidden beast` number, since 4 + 9 + 6 + 7 + 64 + 576 = 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 79 ways as a sum of consecutive naturals, for example, 3792031 + ... + 3792161.

It is an arithmetic number, because the mean of its divisors is an integer number (4024944).

Almost surely, 2^496764576 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 496764576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965986560).

496764576 is an abundant number, since it is smaller than the sum of its proper divisors (1435208544).

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

496764576 is a wasteful number, since it uses less digits than its factorization.

496764576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 173 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 496764576 is about 22288.2160793546. The cubic root of 496764576 is about 791.9848481950.

The spelling of 496764576 in words is "four hundred ninety-six million, seven hundred sixty-four thousand, five hundred seventy-six".