392904 has 64 divisors (see below), whose sum is σ = 1166400. Its totient is φ = 122112.

The previous prime is 392893. The next prime is 392911. The reversal of 392904 is 409293.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

392904 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 15 ways as a sum of consecutive naturals, for example, 3619 + ... + 3725.

It is an arithmetic number, because the mean of its divisors is an integer number (18225).

2³⁹²⁹⁰⁴ is an apocalyptic number.

392904 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 392904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583200).

392904 is an abundant number, since it is smaller than the sum of its proper divisors (773496).

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

392904 is a wasteful number, since it uses less digits than its factorization.

392904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 392904 is about 626.8205484826. The cubic root of 392904 is about 73.2423297229.

It can be divided in two parts, 392 and 904, that added together give a 4-th power (1296 = 6⁴).

The spelling of 392904 in words is "three hundred ninety-two thousand, nine hundred four".