390304 has 12 divisors (see below), whose sum is σ = 768474. Its totient is φ = 195136.

The previous prime is 390289. The next prime is 390307. The reversal of 390304 is 403093.

It can be written as a sum of positive squares in only one way, i.e., 300304 + 90000 = 548^2 + 300^2 .

It is not an unprimeable number, because it can be changed into a prime (390307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6067 + ... + 6130.

2³⁹⁰³⁰⁴ is an apocalyptic number.

It is an amenable number.

390304 is a deficient number, since it is larger than the sum of its proper divisors (378170).

390304 is a wasteful number, since it uses less digits than its factorization.

390304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12207 (or 12199 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 390304 is about 624.7431472213. The cubic root of 390304 is about 73.0804142945.

Adding to 390304 its reverse (403093), we get a palindrome (793397).

The spelling of 390304 in words is "three hundred ninety thousand, three hundred four".