392952 has 32 divisors (see below), whose sum is σ = 1123200. Its totient is φ = 112224.

The previous prime is 392929. The next prime is 392957. The reversal of 392952 is 259293.

It is a super-2 number, since 2×392952² = 308822548608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (392957) by changing a digit.

392952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1002 + ... + 1337.

It is an arithmetic number, because the mean of its divisors is an integer number (35100).

2³⁹²⁹⁵² is an apocalyptic number.

It is an amenable number.

392952 is an abundant number, since it is smaller than the sum of its proper divisors (730248).

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

392952 is a wasteful number, since it uses less digits than its factorization.

392952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355 (or 2351 counting only the distinct ones).

The product of its digits is 4860, while the sum is 30.

The square root of 392952 is about 626.8588357836. The cubic root of 392952 is about 73.2453122061.

The spelling of 392952 in words is "three hundred ninety-two thousand, nine hundred fifty-two".