322461216 has 384 divisors, whose sum is σ = 1213470720. Its totient is φ = 80870400.

The previous prime is 322461157. The next prime is 322461229. The reversal of 322461216 is 612164223.

322461216 is a `hidden beast` number, since 32 + 2 + 4 + 612 + 16 = 666.

322461216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 322461216.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2461471 + ... + 2461601.

It is an arithmetic number, because the mean of its divisors is an integer number (3160080).

Almost surely, 2^322461216 is an apocalyptic number.

322461216 is a gapful number since it is divisible by the number (36) 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 322461216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606735360).

322461216 is an abundant number, since it is smaller than the sum of its proper divisors (891009504).

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

322461216 is a wasteful number, since it uses less digits than its factorization.

322461216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 322461216 is about 17957.2051277475. The cubic root of 322461216 is about 685.7394937162.

The spelling of 322461216 in words is "three hundred twenty-two million, four hundred sixty-one thousand, two hundred sixteen".