322800400 has 120 divisors (see below), whose sum is σ = 871819200. Its totient is φ = 113963520.

The previous prime is 322800391. The next prime is 322800407. The reversal of 322800400 is 4008223.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (322800407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 118251 + ... + 120949.

It is an arithmetic number, because the mean of its divisors is an integer number (7265160).

Almost surely, 2^322800400 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 322800400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435909600).

322800400 is an abundant number, since it is smaller than the sum of its proper divisors (549018800).

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

322800400 is a wasteful number, since it uses less digits than its factorization.

322800400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 322800400 is about 17966.6468769217. The cubic root of 322800400 is about 685.9798434070.

Adding to 322800400 its reverse (4008223), we get a palindrome (326808623).

The spelling of 322800400 in words is "three hundred twenty-two million, eight hundred thousand, four hundred".