322260582400 has 135 divisors (see below), whose sum is σ = 800083864489. Its totient is φ = 128758906880.

The previous prime is 322260582313. The next prime is 322260582431. The reversal of 322260582400 is 4285062223.

The square root of 322260582400 is 567680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 116013809664 + 206246772736 = 340608^2 + 454144^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 363314757 + ... + 363315643.

Almost surely, 2^322260582400 is an apocalyptic number.

322260582400 is the 567680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 322260582400

322260582400 is an abundant number, since it is smaller than the sum of its proper divisors (477823282089).

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

322260582400 is an frugal number, since it uses more digits than its factorization.

322260582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 322260582400 in words is "three hundred twenty-two billion, two hundred sixty million, five hundred eighty-two thousand, four hundred".