396395052 has 96 divisors (see below), whose sum is σ = 1017080064. Its totient is φ = 119654400.

The previous prime is 396395017. The next prime is 396395101. The reversal of 396395052 is 250593693.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 396394995 and 396395013.

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 31 ways as a sum of consecutive naturals, for example, 693927 + ... + 694497.

It is an arithmetic number, because the mean of its divisors is an integer number (10594584).

Almost surely, 2^396395052 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 396395052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508540032).

396395052 is an abundant number, since it is smaller than the sum of its proper divisors (620685012).

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

396395052 is a wasteful number, since it uses less digits than its factorization.

396395052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 42.

The square root of 396395052 is about 19909.6723227681. The cubic root of 396395052 is about 734.5861597386.

The spelling of 396395052 in words is "three hundred ninety-six million, three hundred ninety-five thousand, fifty-two".