390937664 has 28 divisors (see below), whose sum is σ = 835443084. Its totient is φ = 180432384.

The previous prime is 390937663. The next prime is 390937721. The reversal of 390937664 is 466739093.

It can be written as a sum of positive squares in 2 ways, for example, as 218803264 + 172134400 = 14792^2 + 13120^2 .

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (390937663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 234107 + ... + 235770.

It is an arithmetic number, because the mean of its divisors is an integer number (29837253).

Almost surely, 2^390937664 is an apocalyptic number.

It is an amenable number.

390937664 is an abundant number, since it is smaller than the sum of its proper divisors (444505420).

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

390937664 is a wasteful number, since it uses less digits than its factorization.

390937664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469902 (or 469892 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 47.

The square root of 390937664 is about 19772.1436369454. The cubic root of 390937664 is about 731.1994193567.

The spelling of 390937664 in words is "three hundred ninety million, nine hundred thirty-seven thousand, six hundred sixty-four".