382832760 has 64 divisors (see below), whose sum is σ = 1154580480. Its totient is φ = 101548160.

The previous prime is 382832759. The next prime is 382832773. The reversal of 382832760 is 67238283.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 14569 + ... + 31271.

It is an arithmetic number, because the mean of its divisors is an integer number (18040320).

Almost surely, 2^382832760 is an apocalyptic number.

382832760 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 382832760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577290240).

382832760 is an abundant number, since it is smaller than the sum of its proper divisors (771747720).

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

382832760 is a wasteful number, since it uses less digits than its factorization.

382832760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16908 (or 16904 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 382832760 is about 19566.1125418413. The cubic root of 382832760 is about 726.1110258299. Note that the first 3 decimals are identical.

The spelling of 382832760 in words is "three hundred eighty-two million, eight hundred thirty-two thousand, seven hundred sixty".