390560832 has 112 divisors (see below), whose sum is σ = 1163116800. Its totient is φ = 128494080.

The previous prime is 390560791. The next prime is 390560867. The reversal of 390560832 is 238065093.

390560832 is a `hidden beast` number, since 3 + 90 + 560 + 8 + 3 + 2 = 666.

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 15 ways as a sum of consecutive naturals, for example, 135082 + ... + 137942.

Almost surely, 2^390560832 is an apocalyptic number.

390560832 is a gapful number since it is divisible by the number (32) 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 390560832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581558400).

390560832 is an abundant number, since it is smaller than the sum of its proper divisors (772555968).

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

390560832 is a wasteful number, since it uses less digits than its factorization.

390560832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 390560832 is about 19762.6119731173. The cubic root of 390560832 is about 730.9644049756.

The spelling of 390560832 in words is "three hundred ninety million, five hundred sixty thousand, eight hundred thirty-two".