324120400 has 60 divisors (see below), whose sum is σ = 786359392. Its totient is φ = 128373120.

The previous prime is 324120371. The next prime is 324120403. The reversal of 324120400 is 4021423.

324120400 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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324120403) 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, 37267 + ... + 45133.

Almost surely, 2^324120400 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 324120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393179696).

324120400 is an abundant number, since it is smaller than the sum of its proper divisors (462238992).

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

324120400 is a wasteful number, since it uses less digits than its factorization.

324120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7988 (or 7977 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 324120400 is about 18003.3441337991. The cubic root of 324120400 is about 686.9136112890.

Adding to 324120400 its reverse (4021423), we get a palindrome (328141823).

The spelling of 324120400 in words is "three hundred twenty-four million, one hundred twenty thousand, four hundred".