393395904 has 168 divisors, whose sum is σ = 1273119120. Its totient is φ = 115046400.

The previous prime is 393395903. The next prime is 393395917. The reversal of 393395904 is 409593393.

It is a self number, because there is not a number n which added to its sum of digits gives 393395904.

It is not an unprimeable number, because it can be changed into a prime (393395903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182674 + ... + 184814.

It is an arithmetic number, because the mean of its divisors is an integer number (7578090).

Almost surely, 2^393395904 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 393395904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636559560).

393395904 is an abundant number, since it is smaller than the sum of its proper divisors (879723216).

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

393395904 is a wasteful number, since it uses less digits than its factorization.

393395904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 45.

The square root of 393395904 is about 19834.2104455912. The cubic root of 393395904 is about 732.7288270788.

The spelling of 393395904 in words is "three hundred ninety-three million, three hundred ninety-five thousand, nine hundred four".