496476704 has 48 divisors (see below), whose sum is σ = 1041706008. Its totient is φ = 232108032.

The previous prime is 496476697. The next prime is 496476709. The reversal of 496476704 is 407674694.

It can be written as a sum of positive squares in 4 ways, for example, as 465696400 + 30780304 = 21580^2 + 5548^2 .

It is a super-2 number, since 2×496476704² = 492978235229407232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (496476709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82502 + ... + 88314.

Almost surely, 2^496476704 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 496476704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520853004).

496476704 is an abundant number, since it is smaller than the sum of its proper divisors (545229304).

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

496476704 is a wasteful number, since it uses less digits than its factorization.

496476704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5997 (or 5989 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 47.

The square root of 496476704 is about 22281.7572018008. The cubic root of 496476704 is about 791.8318351937.

The spelling of 496476704 in words is "four hundred ninety-six million, four hundred seventy-six thousand, seven hundred four".