390960576 has 84 divisors (see below), whose sum is σ = 1123340400. Its totient is φ = 130003968.

The previous prime is 390960569. The next prime is 390960637. The reversal of 390960576 is 675069093.

390960576 is a `hidden beast` number, since 39 + 0 + 9 + 605 + 7 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 465565 + ... + 466403.

It is an arithmetic number, because the mean of its divisors is an integer number (13373100).

Almost surely, 2^390960576 is an apocalyptic number.

390960576 is a gapful number since it is divisible by the number (36) 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 390960576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561670200).

390960576 is an abundant number, since it is smaller than the sum of its proper divisors (732379824).

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

390960576 is a wasteful number, since it uses less digits than its factorization.

390960576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 390960576 is about 19772.7230294666. The cubic root of 390960576 is about 731.2137037430.

The spelling of 390960576 in words is "three hundred ninety million, nine hundred sixty thousand, five hundred seventy-six".