382131200 has 264 divisors, whose sum is σ = 1096536960. Its totient is φ = 130662400.

The previous prime is 382131199. The next prime is 382131229. The reversal of 382131200 is 2131283.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6476771 + ... + 6476829.

Almost surely, 2^382131200 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 382131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548268480).

382131200 is an abundant number, since it is smaller than the sum of its proper divisors (714405760).

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

382131200 is a wasteful number, since it uses less digits than its factorization.

382131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 382131200 is about 19548.1763855353. The cubic root of 382131200 is about 725.6672098046.

Adding to 382131200 its reverse (2131283), we get a palindrome (384262483).

The spelling of 382131200 in words is "three hundred eighty-two million, one hundred thirty-one thousand, two hundred".