382421200 has 120 divisors (see below), whose sum is σ = 1067709440. Its totient is φ = 128908800.

The previous prime is 382421191. The next prime is 382421203. The reversal of 382421200 is 2124283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382421203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169681 + ... + 171919.

Almost surely, 2^382421200 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 382421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533854720).

382421200 is an abundant number, since it is smaller than the sum of its proper divisors (685288240).

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

382421200 is a wasteful number, since it uses less digits than its factorization.

382421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 382421200 is about 19555.5925504701. The cubic root of 382421200 is about 725.8507334024.

Adding to 382421200 its reverse (2124283), we get a palindrome (384545483).

The spelling of 382421200 in words is "three hundred eighty-two million, four hundred twenty-one thousand, two hundred".