390449160 has 160 divisors (see below), whose sum is σ = 1348225560. Its totient is φ = 101274624.

The previous prime is 390449117. The next prime is 390449179. The reversal of 390449160 is 61944093.

It can be written as a sum of positive squares in 4 ways, for example, as 389904516 + 544644 = 19746^2 + 738^2 .

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 118252 + ... + 121508.

Almost surely, 2^390449160 is an apocalyptic number.

390449160 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 390449160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674112780).

390449160 is an abundant number, since it is smaller than the sum of its proper divisors (957776400).

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

390449160 is a wasteful number, since it uses less digits than its factorization.

390449160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3317 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 390449160 is about 19759.7864360929. The cubic root of 390449160 is about 730.8947307776.

The spelling of 390449160 in words is "three hundred ninety million, four hundred forty-nine thousand, one hundred sixty".