382262976 has 140 divisors (see below), whose sum is σ = 1193093880. Its totient is φ = 120683520.

The previous prime is 382262971. The next prime is 382262989. The reversal of 382262976 is 679262283.

382262976 is a `hidden beast` number, since 382 + 262 + 9 + 7 + 6 = 666.

It is a super-2 number, since 2×382262976² = 292249965640753152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (382262971) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 96556 + ... + 100436.

Almost surely, 2^382262976 is an apocalyptic number.

382262976 is a gapful number since it is divisible by the number (36) 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 382262976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596546940).

382262976 is an abundant number, since it is smaller than the sum of its proper divisors (810830904).

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

382262976 is a wasteful number, since it uses less digits than its factorization.

382262976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3924 (or 3905 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 382262976 is about 19551.5466395884. The cubic root of 382262976 is about 725.7506144331.

The spelling of 382262976 in words is "three hundred eighty-two million, two hundred sixty-two thousand, nine hundred seventy-six".