390909920 has 48 divisors (see below), whose sum is σ = 928383120. Its totient is φ = 155541504.

The previous prime is 390909919. The next prime is 390909923. The reversal of 390909920 is 29909093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390909923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24551 + ... + 37209.

It is an arithmetic number, because the mean of its divisors is an integer number (19341315).

Almost surely, 2^390909920 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 390909920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464191560).

390909920 is an abundant number, since it is smaller than the sum of its proper divisors (537473200).

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

390909920 is a wasteful number, since it uses less digits than its factorization.

390909920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12867 (or 12859 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 41.

The square root of 390909920 is about 19771.4420313744. The cubic root of 390909920 is about 731.1821217341.

The spelling of 390909920 in words is "three hundred ninety million, nine hundred nine thousand, nine hundred twenty".