323430400 has 72 divisors (see below), whose sum is σ = 802038510. Its totient is φ = 129351680.

The previous prime is 323430397. The next prime is 323430413. The reversal of 323430400 is 4034323.

It can be written as a sum of positive squares in 3 ways, for example, as 244859904 + 78570496 = 15648^2 + 8864^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48042 + ... + 54358.

Almost surely, 2^323430400 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 323430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401019255).

323430400 is an abundant number, since it is smaller than the sum of its proper divisors (478608110).

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

323430400 is an equidigital number, since it uses as much as digits as its factorization.

323430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6349 (or 6324 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 323430400 is about 17984.1708176941. The cubic root of 323430400 is about 686.4258222600.

Adding to 323430400 its reverse (4034323), we get a palindrome (327464723).

The spelling of 323430400 in words is "three hundred twenty-three million, four hundred thirty thousand, four hundred".