390920 has 32 divisors (see below), whose sum is σ = 912600. Its totient is φ = 150528.

The previous prime is 390893. The next prime is 390953. The reversal of 390920 is 29093.

It can be written as a sum of positive squares in 4 ways, for example, as 276676 + 114244 = 526^2 + 338^2 .

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, 992 + ... + 1328.

2³⁹⁰⁹²⁰ 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 390920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456300).

390920 is an abundant number, since it is smaller than the sum of its proper divisors (521680).

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

390920 is a wasteful number, since it uses less digits than its factorization.

390920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 390920 is about 625.2359554600. The cubic root of 390920 is about 73.1188406432.

The spelling of 390920 in words is "three hundred ninety thousand, nine hundred twenty".