323130400 has 72 divisors (see below), whose sum is σ = 803831364. Its totient is φ = 126796800.

The previous prime is 323130349. The next prime is 323130403. The reversal of 323130400 is 4031323.

It can be written as a sum of positive squares in 6 ways, for example, as 222248464 + 100881936 = 14908^2 + 10044^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (323130403) 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, 38590 + ... + 46210.

Almost surely, 2^323130400 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 323130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401915682).

323130400 is an abundant number, since it is smaller than the sum of its proper divisors (480700964).

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

323130400 is a wasteful number, since it uses less digits than its factorization.

323130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7694 (or 7681 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 323130400 is about 17975.8282145775. The cubic root of 323130400 is about 686.2135236744.

Adding to 323130400 its reverse (4031323), we get a palindrome (327161723).

The spelling of 323130400 in words is "three hundred twenty-three million, one hundred thirty thousand, four hundred".