322252920 has 192 divisors, whose sum is σ = 1202947200. Its totient is φ = 73992960.

The previous prime is 322252877. The next prime is 322252921. The reversal of 322252920 is 29252223.

322252920 is a `hidden beast` number, since 322 + 252 + 92 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322252921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73099 + ... + 77381.

It is an arithmetic number, because the mean of its divisors is an integer number (6265350).

Almost surely, 2^322252920 is an apocalyptic number.

322252920 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 322252920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601473600).

322252920 is an abundant number, since it is smaller than the sum of its proper divisors (880694280).

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

322252920 is a wasteful number, since it uses less digits than its factorization.

322252920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330 (or 4323 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 322252920 is about 17951.4044018846. The cubic root of 322252920 is about 685.5918092268.

The spelling of 322252920 in words is "three hundred twenty-two million, two hundred fifty-two thousand, nine hundred twenty".