382432 has 48 divisors (see below), whose sum is σ = 861840. Its totient is φ = 165888.

The previous prime is 382429. The next prime is 382457. The reversal of 382432 is 234283.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10318 + ... + 10354.

It is an arithmetic number, because the mean of its divisors is an integer number (17955).

2³⁸²⁴³² is an apocalyptic number.

382432 is a gapful number since it is divisible by the number (32) 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 382432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430920).

382432 is an abundant number, since it is smaller than the sum of its proper divisors (479408).

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

382432 is a wasteful number, since it uses less digits than its factorization.

382432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 75 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 382432 is about 618.4108666574. The cubic root of 382432 is about 72.5857566282.

It can be divided in two parts, 38 and 2432, that multiplied together give a square (92416 = 304²).

The spelling of 382432 in words is "three hundred eighty-two thousand, four hundred thirty-two".