382200 has 144 divisors (see below), whose sum is σ = 1484280. Its totient is φ = 80640.

The previous prime is 382189. The next prime is 382229. The reversal of 382200 is 2283.

382200 is nontrivially palindromic in base 9.

382200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 382200.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 382200.

It is an unprimeable number.

382200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 35 ways as a sum of consecutive naturals, for example, 29394 + ... + 29406.

2³⁸²²⁰⁰ is an apocalyptic number.

382200 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 382200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742140).

382200 is an abundant number, since it is smaller than the sum of its proper divisors (1102080).

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

382200 is a wasteful number, since it uses less digits than its factorization.

382200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 382200 is about 618.2232606429. The cubic root of 382200 is about 72.5710757595.

Adding to 382200 its reverse (2283), we get a palindrome (384483).

The spelling of 382200 in words is "three hundred eighty-two thousand, two hundred".