324125200 has 180 divisors, whose sum is σ = 946546560. Its totient is φ = 106149120.

The previous prime is 324125189. The next prime is 324125203. The reversal of 324125200 is 2521423.

324125200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (324125203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 450441 + ... + 451159.

It is an arithmetic number, because the mean of its divisors is an integer number (5258592).

Almost surely, 2^324125200 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 324125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473273280).

324125200 is an abundant number, since it is smaller than the sum of its proper divisors (622421360).

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

324125200 is a wasteful number, since it uses less digits than its factorization.

324125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 324125200 is about 18003.4774418722. The cubic root of 324125200 is about 686.9170021782.

Adding to 324125200 its reverse (2521423), we get a palindrome (326646623).

It can be divided in two parts, 3241 and 25200, that added together give a triangular number (28441 = T₂₃₈).

The spelling of 324125200 in words is "three hundred twenty-four million, one hundred twenty-five thousand, two hundred".