323312400 has 90 divisors (see below), whose sum is σ = 1121996330. Its totient is φ = 86215680.

The previous prime is 323312369. The next prime is 323312491. The reversal of 323312400 is 4213323.

323312400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 76947984 + 246364416 = 8772^2 + 15696^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41305 + ... + 48504.

Almost surely, 2^323312400 is an apocalyptic number.

323312400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

323312400 is an abundant number, since it is smaller than the sum of its proper divisors (798683930).

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

323312400 is a wasteful number, since it uses less digits than its factorization.

323312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89833 (or 89819 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 323312400 is about 17980.8898556217. The cubic root of 323312400 is about 686.3423338191.

Adding to 323312400 its reverse (4213323), we get a palindrome (327525723).

The spelling of 323312400 in words is "three hundred twenty-three million, three hundred twelve thousand, four hundred".