390481920 has 288 divisors, whose sum is σ = 1430956800. Its totient is φ = 98205696.

The previous prime is 390481919. The next prime is 390481943. The reversal of 390481920 is 29184093.

390481920 is a `hidden beast` number, since 3 + 90 + 481 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×390481920² = 304952259693772800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1750929 + ... + 1751151.

It is an arithmetic number, because the mean of its divisors is an integer number (4968600).

Almost surely, 2^390481920 is an apocalyptic number.

390481920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715478400).

390481920 is an abundant number, since it is smaller than the sum of its proper divisors (1040474880).

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

390481920 is a wasteful number, since it uses less digits than its factorization.

390481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 390481920 is about 19760.6153750332. The cubic root of 390481920 is about 730.9151717161.

The spelling of 390481920 in words is "three hundred ninety million, four hundred eighty-one thousand, nine hundred twenty".