390992 has 20 divisors (see below), whose sum is σ = 866016. Its totient is φ = 167520.

The previous prime is 390991. The next prime is 391009. The reversal of 390992 is 299093.

390992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 390992.

It is not an unprimeable number, because it can be changed into a prime (390991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1634 + ... + 1857.

2³⁹⁰⁹⁹² is an apocalyptic number.

It is an amenable number.

390992 is an abundant number, since it is smaller than the sum of its proper divisors (475024).

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

390992 is a wasteful number, since it uses less digits than its factorization.

390992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3506 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 32.

The square root of 390992 is about 625.2935310716. The cubic root of 390992 is about 73.1233293991.

The spelling of 390992 in words is "three hundred ninety thousand, nine hundred ninety-two".