322320400 has 60 divisors (see below), whose sum is σ = 777164544. Its totient is φ = 128464000.

The previous prime is 322320347. The next prime is 322320421. The reversal of 322320400 is 4023223.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123105 + ... + 125695.

Almost surely, 2^322320400 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 322320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388582272).

322320400 is an abundant number, since it is smaller than the sum of its proper divisors (454844144).

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

322320400 is a wasteful number, since it uses less digits than its factorization.

322320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 322320400 is about 17953.2838221870. The cubic root of 322320400 is about 685.6396603644.

Adding to 322320400 its reverse (4023223), we get a palindrome (326343623).

The spelling of 322320400 in words is "three hundred twenty-two million, three hundred twenty thousand, four hundred".