322100400 has 120 divisors (see below), whose sum is σ = 1053932544. Its totient is φ = 84051200.

The previous prime is 322100393. The next prime is 322100417. The reversal of 322100400 is 4001223.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53545 + ... + 59255.

Almost surely, 2^322100400 is an apocalyptic number.

322100400 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 322100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526966272).

322100400 is an abundant number, since it is smaller than the sum of its proper divisors (731832144).

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

322100400 is a wasteful number, since it uses less digits than its factorization.

322100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5779 (or 5768 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 322100400 is about 17947.1557635186. The cubic root of 322100400 is about 685.4836302598.

Adding to 322100400 its reverse (4001223), we get a palindrome (326101623).

The spelling of 322100400 in words is "three hundred twenty-two million, one hundred thousand, four hundred".