323324400 has 240 divisors, whose sum is σ = 1204986368. Its totient is φ = 72576000.

The previous prime is 323324399. The next prime is 323324423. The reversal of 323324400 is 4423323.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 512085 + ... + 512715.

Almost surely, 2^323324400 is an apocalyptic number.

323324400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602493184).

323324400 is an abundant number, since it is smaller than the sum of its proper divisors (881661968).

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

323324400 is a wasteful number, since it uses less digits than its factorization.

323324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 323324400 is about 17981.2235401265. The cubic root of 323324400 is about 686.3508250968.

Adding to 323324400 its reverse (4423323), we get a palindrome (327747723).

The spelling of 323324400 in words is "three hundred twenty-three million, three hundred twenty-four thousand, four hundred".