390790560 has 192 divisors, whose sum is σ = 1321391232. Its totient is φ = 96731136.

The previous prime is 390790541. The next prime is 390790597. The reversal of 390790560 is 65097093.

It is a super-2 number, since 2×390790560² = 305434523570227200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 676992 + ... + 677568.

It is an arithmetic number, because the mean of its divisors is an integer number (6882246).

Almost surely, 2^390790560 is an apocalyptic number.

390790560 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 390790560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660695616).

390790560 is an abundant number, since it is smaller than the sum of its proper divisors (930600672).

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

390790560 is a wasteful number, since it uses less digits than its factorization.

390790560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 39.

The square root of 390790560 is about 19768.4233058684. The cubic root of 390790560 is about 731.1076947133.

The spelling of 390790560 in words is "three hundred ninety million, seven hundred ninety thousand, five hundred sixty".