390704904 has 256 divisors, whose sum is σ = 1225728000. Its totient is φ = 114773760.

The previous prime is 390704893. The next prime is 390704917. The reversal of 390704904 is 409407093.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4707247 + ... + 4707329.

It is an arithmetic number, because the mean of its divisors is an integer number (4788000).

Almost surely, 2^390704904 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 390704904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612864000).

390704904 is an abundant number, since it is smaller than the sum of its proper divisors (835023096).

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

390704904 is a wasteful number, since it uses less digits than its factorization.

390704904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 390704904 is about 19766.2567017632. The cubic root of 390704904 is about 731.0542745072.

The spelling of 390704904 in words is "three hundred ninety million, seven hundred four thousand, nine hundred four".