390842304 has 56 divisors (see below), whose sum is σ = 1036960080. Its totient is φ = 129921024.

The previous prime is 390842279. The next prime is 390842321. The reversal of 390842304 is 403248093.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72072 + ... + 77304.

Almost surely, 2^390842304 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 390842304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518480040).

390842304 is an abundant number, since it is smaller than the sum of its proper divisors (646117776).

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

390842304 is a wasteful number, since it uses less digits than its factorization.

390842304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5637 (or 5627 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 390842304 is about 19769.7320163931. The cubic root of 390842304 is about 731.1399615853.

The spelling of 390842304 in words is "three hundred ninety million, eight hundred forty-two thousand, three hundred four".