382700 has 36 divisors (see below), whose sum is σ = 859320. Its totient is φ = 147840.

The previous prime is 382693. The next prime is 382703. The reversal of 382700 is 7283.

382700 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 382700.

It is not an unprimeable number, because it can be changed into a prime (382703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4256 + ... + 4344.

It is an arithmetic number, because the mean of its divisors is an integer number (23870).

2³⁸²⁷⁰⁰ 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 382700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429660).

382700 is an abundant number, since it is smaller than the sum of its proper divisors (476620).

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

382700 is a wasteful number, since it uses less digits than its factorization.

382700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 382700 is about 618.6275131289. The cubic root of 382700 is about 72.6027081738.

Adding to 382700 its reverse (7283), we get a palindrome (389983).

The spelling of 382700 in words is "three hundred eighty-two thousand, seven hundred".