390378304 has 28 divisors (see below), whose sum is σ = 785278084. Its totient is φ = 192513024.

The previous prime is 390378301. The next prime is 390378323. The reversal of 390378304 is 403873093.

It can be written as a sum of positive squares in 2 ways, for example, as 336795904 + 53582400 = 18352^2 + 7320^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390378301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37107 + ... + 46450.

Almost surely, 2^390378304 is an apocalyptic number.

It is an amenable number.

390378304 is an abundant number, since it is smaller than the sum of its proper divisors (394899780).

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

390378304 is an equidigital number, since it uses as much as digits as its factorization.

390378304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83642 (or 83632 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 390378304 is about 19757.9934203856. The cubic root of 390378304 is about 730.8505155375.

The spelling of 390378304 in words is "three hundred ninety million, three hundred seventy-eight thousand, three hundred four".