389920 has 24 divisors (see below), whose sum is σ = 921564. Its totient is φ = 155904.

The previous prime is 389911. The next prime is 389923. The reversal of 389920 is 29983.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 374544 + 15376 = 612^2 + 124^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (389923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1059 + ... + 1378.

2³⁸⁹⁹²⁰ is an apocalyptic number.

It is an amenable number.

389920 is an abundant number, since it is smaller than the sum of its proper divisors (531644).

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

389920 is a wasteful number, since it uses less digits than its factorization.

389920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2444 counting only the distinct ones).

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

The square root of 389920 is about 624.4357452933. The cubic root of 389920 is about 73.0564397453.

The spelling of 389920 in words is "three hundred eighty-nine thousand, nine hundred twenty".