390972 has 24 divisors (see below), whose sum is σ = 942592. Its totient is φ = 126000.

The previous prime is 390967. The next prime is 390989. The reversal of 390972 is 279093.

It is a congruent number.

It is an unprimeable number.

390972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 154 + ... + 897.

2³⁹⁰⁹⁷² is an apocalyptic number.

It is an amenable number.

390972 is an abundant number, since it is smaller than the sum of its proper divisors (551620).

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

390972 is a wasteful number, since it uses less digits than its factorization.

390972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 390972 is about 625.2775383780. The cubic root of 390972 is about 73.1220825777.

The spelling of 390972 in words is "three hundred ninety thousand, nine hundred seventy-two".