396624512 has 64 divisors (see below), whose sum is σ = 829872000. Its totient is φ = 188457984.

The previous prime is 396624479. The next prime is 396624517. The reversal of 396624512 is 215426693.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×396624512² = 314622007038476288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (396624517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 585518 + ... + 586194.

It is an arithmetic number, because the mean of its divisors is an integer number (12966750).

Almost surely, 2^396624512 is an apocalyptic number.

396624512 is a gapful number since it is divisible by the number (32) 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 396624512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414936000).

396624512 is an abundant number, since it is smaller than the sum of its proper divisors (433247488).

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

396624512 is a wasteful number, since it uses less digits than its factorization.

396624512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 901 counting only the distinct ones).

The product of its digits is 77760, while the sum is 38.

The square root of 396624512 is about 19915.4340148539. The cubic root of 396624512 is about 734.7278749505.

The spelling of 396624512 in words is "three hundred ninety-six million, six hundred twenty-four thousand, five hundred twelve".