323400 has 144 divisors (see below), whose sum is σ = 1272240. Its totient is φ = 67200.

The previous prime is 323383. The next prime is 323413. The reversal of 323400 is 4323.

323400 = 56² + 57² + ... + 104².

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

323400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29395 + ... + 29405.

It is an arithmetic number, because the mean of its divisors is an integer number (8835).

2³²³⁴⁰⁰ is an apocalyptic number.

323400 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 323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636120).

323400 is an abundant number, since it is smaller than the sum of its proper divisors (948840).

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

323400 is a wasteful number, since it uses less digits than its factorization.

323400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 323400 is about 568.6826883245. The cubic root of 323400 is about 68.6404315316.

Adding to 323400 its reverse (4323), we get a palindrome (327723).

The spelling of 323400 in words is "three hundred twenty-three thousand, four hundred", and thus it is an iban number.