396156384 has 144 divisors (see below), whose sum is σ = 1277312400. Its totient is φ = 115458048.

The previous prime is 396156379. The next prime is 396156401. The reversal of 396156384 is 483651693.

396156384 is a `hidden beast` number, since 3 + 9 + 6 + 1 + 5 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68352 + ... + 73920.

It is an arithmetic number, because the mean of its divisors is an integer number (8870225).

Almost surely, 2^396156384 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 396156384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638656200).

396156384 is an abundant number, since it is smaller than the sum of its proper divisors (881156016).

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

396156384 is a wasteful number, since it uses less digits than its factorization.

396156384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5617 (or 5606 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 396156384 is about 19903.6776501229. The cubic root of 396156384 is about 734.4386995996.

The spelling of 396156384 in words is "three hundred ninety-six million, one hundred fifty-six thousand, three hundred eighty-four".