396504864 has 108 divisors (see below), whose sum is σ = 1311698934. Its totient is φ = 113283072.

The previous prime is 396504853. The next prime is 396504919. The reversal of 396504864 is 468405693.

It can be written as a sum of positive squares in only one way, i.e., 396328464 + 176400 = 19908^2 + 420^2 .

It is a super-2 number, since 2×396504864² = 314432214351316992, which contains 22 as substring.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 64 + ... + 28160.

Almost surely, 2^396504864 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 396504864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655849467).

396504864 is an abundant number, since it is smaller than the sum of its proper divisors (915194070).

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

396504864 is a wasteful number, since it uses less digits than its factorization.

396504864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28127 (or 28109 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 396504864 is about 19912.4298868822. The cubic root of 396504864 is about 734.6539867941.

The spelling of 396504864 in words is "three hundred ninety-six million, five hundred four thousand, eight hundred sixty-four".