382304160 has 576 divisors, whose sum is σ = 1664312832. Its totient is φ = 77856768.

The previous prime is 382304159. The next prime is 382304179. The reversal of 382304160 is 61403283.

It is a happy number.

382304160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3941232 + ... + 3941328.

It is an arithmetic number, because the mean of its divisors is an integer number (2889432).

Almost surely, 2^382304160 is an apocalyptic number.

382304160 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 382304160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832156416).

382304160 is an abundant number, since it is smaller than the sum of its proper divisors (1282008672).

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

382304160 is a wasteful number, since it uses less digits than its factorization.

382304160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 382304160 is about 19552.5998271330. The cubic root of 382304160 is about 725.7766769798.

The spelling of 382304160 in words is "three hundred eighty-two million, three hundred four thousand, one hundred sixty".