396252864 has 448 divisors, whose sum is σ = 1474744320. Its totient is φ = 101744640.

The previous prime is 396252863. The next prime is 396252877. The reversal of 396252864 is 468252693.

396252864 is a `hidden beast` number, since 3 + 9 + 62 + 528 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396252863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8430889 + ... + 8430935.

It is an arithmetic number, because the mean of its divisors is an integer number (3291840).

Almost surely, 2^396252864 is an apocalyptic number.

396252864 is a gapful number since it is divisible by the number (34) 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 396252864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737372160).

396252864 is an abundant number, since it is smaller than the sum of its proper divisors (1078491456).

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

396252864 is a wasteful number, since it uses less digits than its factorization.

396252864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 117 counting only the distinct ones).

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

The square root of 396252864 is about 19906.1011752678. The cubic root of 396252864 is about 734.4983165397.

The spelling of 396252864 in words is "three hundred ninety-six million, two hundred fifty-two thousand, eight hundred sixty-four".