382556160 has 288 divisors, whose sum is σ = 1517836320. Its totient is φ = 87293952.

The previous prime is 382556149. The next prime is 382556201. The reversal of 382556160 is 61655283.

382556160 is a `hidden beast` number, since 38 + 2 + 5 + 5 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 644824 + ... + 645416.

It is an arithmetic number, because the mean of its divisors is an integer number (5270265).

Almost surely, 2^382556160 is an apocalyptic number.

382556160 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 382556160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758918160).

382556160 is an abundant number, since it is smaller than the sum of its proper divisors (1135280160).

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

382556160 is a wasteful number, since it uses less digits than its factorization.

382556160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 382556160 is about 19559.0429213702. The cubic root of 382556160 is about 725.9361098525.

The spelling of 382556160 in words is "three hundred eighty-two million, five hundred fifty-six thousand, one hundred sixty".