390508560 has 160 divisors (see below), whose sum is σ = 1448657280. Its totient is φ = 96118272.

The previous prime is 390508541. The next prime is 390508567. The reversal of 390508560 is 65805093.

390508560 is a `hidden beast` number, since 3 + 90 + 5 + 0 + 8 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (390508567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21127 + ... + 35033.

It is an arithmetic number, because the mean of its divisors is an integer number (9054108).

Almost surely, 2^390508560 is an apocalyptic number.

390508560 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 390508560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724328640).

390508560 is an abundant number, since it is smaller than the sum of its proper divisors (1058148720).

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

390508560 is a wasteful number, since it uses less digits than its factorization.

390508560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13942 (or 13930 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 390508560 is about 19761.2894316135. The cubic root of 390508560 is about 730.9317931748.

The spelling of 390508560 in words is "three hundred ninety million, five hundred eight thousand, five hundred sixty".