382268160 has 216 divisors, whose sum is σ = 1372709520. Its totient is φ = 101855232.

The previous prime is 382268149. The next prime is 382268167. The reversal of 382268160 is 61862283.

382268160 is a `hidden beast` number, since 382 + 268 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×382268160² = 292257892299571200, which contains 22 as substring.

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 (382268167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310426 + ... + 311654.

Almost surely, 2^382268160 is an apocalyptic number.

382268160 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 382268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686354760).

382268160 is an abundant number, since it is smaller than the sum of its proper divisors (990441360).

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

382268160 is an equidigital number, since it uses as much as digits as its factorization.

382268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 382268160 is about 19551.6792117710. The cubic root of 382268160 is about 725.7538951364.

The spelling of 382268160 in words is "three hundred eighty-two million, two hundred sixty-eight thousand, one hundred sixty".