322400 has 72 divisors (see below), whose sum is σ = 874944. Its totient is φ = 115200.

The previous prime is 322397. The next prime is 322403. The reversal of 322400 is 4223.

322400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (322397) and next prime (322403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322403) 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, 10385 + ... + 10415.

It is an arithmetic number, because the mean of its divisors is an integer number (12152).

2³²²⁴⁰⁰ 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 322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437472).

322400 is an abundant number, since it is smaller than the sum of its proper divisors (552544).

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

322400 is a wasteful number, since it uses less digits than its factorization.

322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 322400 is about 567.8027826631. The cubic root of 322400 is about 68.5696097401.

Adding to 322400 its reverse (4223), we get a palindrome (326623).

The spelling of 322400 in words is "three hundred twenty-two thousand, four hundred", and thus it is an iban number.