322216400 has 120 divisors (see below), whose sum is σ = 857888544. Its totient is φ = 115315200.

The previous prime is 322216393. The next prime is 322216409. The reversal of 322216400 is 4612223.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322216409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294254 + ... + 295346.

Almost surely, 2^322216400 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 322216400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428944272).

322216400 is an abundant number, since it is smaller than the sum of its proper divisors (535672144).

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

322216400 is a wasteful number, since it uses less digits than its factorization.

322216400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 322216400 is about 17950.3871824538. The cubic root of 322216400 is about 685.5659095300.

Adding to 322216400 its reverse (4612223), we get a palindrome (326828623).

The spelling of 322216400 in words is "three hundred twenty-two million, two hundred sixteen thousand, four hundred".