323200400 has 60 divisors (see below), whose sum is σ = 781777344. Its totient is φ = 128400000.

The previous prime is 323200351. The next prime is 323200403. The reversal of 323200400 is 4002323.

It is not an unprimeable number, because it can be changed into a prime (323200403) 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, 57725 + ... + 63075.

Almost surely, 2^323200400 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 323200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390888672).

323200400 is an abundant number, since it is smaller than the sum of its proper divisors (458576944).

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

323200400 is a wasteful number, since it uses less digits than its factorization.

323200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5520 (or 5509 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 323200400 is about 17977.7751682459. The cubic root of 323200400 is about 686.2630717603.

Adding to 323200400 its reverse (4002323), we get a palindrome (327202723).

The spelling of 323200400 in words is "three hundred twenty-three million, two hundred thousand, four hundred".