392980 has 36 divisors (see below), whose sum is σ = 962388. Its totient is φ = 134400.

The previous prime is 392969. The next prime is 392981. The reversal of 392980 is 89293.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 298116 + 94864 = 546^2 + 308^2 .

It is an Ulam number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (392981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 780 + ... + 1180.

It is an arithmetic number, because the mean of its divisors is an integer number (26733).

2³⁹²⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 392980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481194).

392980 is an abundant number, since it is smaller than the sum of its proper divisors (569408).

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

392980 is a wasteful number, since it uses less digits than its factorization.

392980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 392980 is about 626.8811689627. The cubic root of 392980 is about 73.2470518757.

The spelling of 392980 in words is "three hundred ninety-two thousand, nine hundred eighty".