323112400 has 60 divisors (see below), whose sum is σ = 836004652. Its totient is φ = 119301120.

The previous prime is 323112397. The next prime is 323112509. The reversal of 323112400 is 4211323.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7268416 + 315843984 = 2696^2 + 17772^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25869 + ... + 36268.

Almost surely, 2^323112400 is an apocalyptic number.

It is an amenable number.

323112400 is an abundant number, since it is smaller than the sum of its proper divisors (512892252).

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

323112400 is a wasteful number, since it uses less digits than its factorization.

323112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62168 (or 62157 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 323112400 is about 17975.3275352634. The cubic root of 323112400 is about 686.2007815814.

Adding to 323112400 its reverse (4211323), we get a palindrome (327323723).

The spelling of 323112400 in words is "three hundred twenty-three million, one hundred twelve thousand, four hundred".