382900 has 36 divisors (see below), whose sum is σ = 951328. Its totient is φ = 131040.

The previous prime is 382883. The next prime is 382919. The reversal of 382900 is 9283.

It is a super-2 number, since 2×382900² = 293224820000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

382900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 427 + ... + 973.

2³⁸²⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475664).

382900 is an abundant number, since it is smaller than the sum of its proper divisors (568428).

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

382900 is a wasteful number, since it uses less digits than its factorization.

382900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 382900 is about 618.7891401762. The cubic root of 382900 is about 72.6153534250.

The spelling of 382900 in words is "three hundred eighty-two thousand, nine hundred".