396324864 has 156 divisors (see below), whose sum is σ = 1234350936. Its totient is φ = 121798656.

The previous prime is 396324853. The next prime is 396324881. The reversal of 396324864 is 468423693.

396324864 is a `hidden beast` number, since 3 + 9 + 632 + 4 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (156).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 478819 + ... + 479645.

It is an arithmetic number, because the mean of its divisors is an integer number (7912506).

Almost surely, 2^396324864 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 396324864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617175468).

396324864 is an abundant number, since it is smaller than the sum of its proper divisors (838026072).

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

396324864 is a wasteful number, since it uses less digits than its factorization.

396324864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 845 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 396324864 is about 19907.9095838815. The cubic root of 396324864 is about 734.5428004883.

The spelling of 396324864 in words is "three hundred ninety-six million, three hundred twenty-four thousand, eight hundred sixty-four".