382916160 has 560 divisors, whose sum is σ = 1593250560. Its totient is φ = 86261760.

The previous prime is 382916159. The next prime is 382916197. The reversal of 382916160 is 61619283.

382916160 is a `hidden beast` number, since 38 + 2 + 9 + 1 + 616 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4847001 + ... + 4847079.

Almost surely, 2^382916160 is an apocalyptic number.

382916160 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 382916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796625280).

382916160 is an abundant number, since it is smaller than the sum of its proper divisors (1210334400).

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

382916160 is a wasteful number, since it uses less digits than its factorization.

382916160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 382916160 is about 19568.2436616064. The cubic root of 382916160 is about 726.1637496900.

The spelling of 382916160 in words is "three hundred eighty-two million, nine hundred sixteen thousand, one hundred sixty".