396624800 has 144 divisors (see below), whose sum is σ = 1137864672. Its totient is φ = 133094400.

The previous prime is 396624797. The next prime is 396624827. The reversal of 396624800 is 8426693.

It is a super-2 number, since 2×396624800² = 314622463950080000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112667 + ... + 116133.

It is an arithmetic number, because the mean of its divisors is an integer number (7901838).

Almost surely, 2^396624800 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 396624800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568932336).

396624800 is an abundant number, since it is smaller than the sum of its proper divisors (741239872).

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

396624800 is a wasteful number, since it uses less digits than its factorization.

396624800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 396624800 is about 19915.4412454256. The cubic root of 396624800 is about 734.7280527858.

The spelling of 396624800 in words is "three hundred ninety-six million, six hundred twenty-four thousand, eight hundred".