392880 has 40 divisors (see below), whose sum is σ = 1218672. Its totient is φ = 104704.

The previous prime is 392879. The next prime is 392893. The reversal of 392880 is 88293.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 579 + ... + 1058.

392880 is a Friedman number, since it can be written as 80*((9+8)^3-2), using all its digits and the basic arithmetic operations.

2³⁹²⁸⁸⁰ is an apocalyptic number.

392880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

392880 is an abundant number, since it is smaller than the sum of its proper divisors (825792).

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

392880 is a wasteful number, since it uses less digits than its factorization.

392880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 392880 is about 626.8014039550. The cubic root of 392880 is about 73.2408383903.

The spelling of 392880 in words is "three hundred ninety-two thousand, eight hundred eighty".