322423920 has 720 divisors, whose sum is σ = 1466468640. Its totient is φ = 62705664.

The previous prime is 322423903. The next prime is 322423951. The reversal of 322423920 is 29324223.

322423920 is a `hidden beast` number, since 32 + 242 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8714142 + ... + 8714178.

It is an arithmetic number, because the mean of its divisors is an integer number (2036762).

Almost surely, 2^322423920 is an apocalyptic number.

322423920 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 322423920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733234320).

322423920 is an abundant number, since it is smaller than the sum of its proper divisors (1144044720).

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

322423920 is a wasteful number, since it uses less digits than its factorization.

322423920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 322423920 is about 17956.1666287657. The cubic root of 322423920 is about 685.7130550573.

The spelling of 322423920 in words is "three hundred twenty-two million, four hundred twenty-three thousand, nine hundred twenty".