320355972 has 60 divisors (see below), whose sum is σ = 840146076. Its totient is φ = 106444800.

The previous prime is 320355961. The next prime is 320355991. The reversal of 320355972 is 279553023.

320355972 is a `hidden beast` number, since 32 + 0 + 3 + 559 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 146748996 + 173606976 = 12114^2 + 13176^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 112972 + ... + 115772.

Almost surely, 2^320355972 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 320355972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420073038).

320355972 is an abundant number, since it is smaller than the sum of its proper divisors (519790104).

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

320355972 is a wasteful number, since it uses less digits than its factorization.

320355972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3170 (or 3159 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 320355972 is about 17898.4907743642. The cubic root of 320355972 is about 684.2439111654.

The spelling of 320355972 in words is "three hundred twenty million, three hundred fifty-five thousand, nine hundred seventy-two".