382752960 has 224 divisors, whose sum is σ = 1316736000. Its totient is φ = 93831168.

The previous prime is 382752949. The next prime is 382752961. The reversal of 382752960 is 69257283.

It is not an unprimeable number, because it can be changed into a prime (382752961) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 766791 + ... + 767289.

Almost surely, 2^382752960 is an apocalyptic number.

382752960 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 382752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658368000).

382752960 is an abundant number, since it is smaller than the sum of its proper divisors (933983040).

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

382752960 is a wasteful number, since it uses less digits than its factorization.

382752960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 382752960 is about 19564.0731955286. The cubic root of 382752960 is about 726.0605706509.

The spelling of 382752960 in words is "three hundred eighty-two million, seven hundred fifty-two thousand, nine hundred sixty".