320455872 has 224 divisors, whose sum is σ = 1073871360. Its totient is φ = 92759040.

The previous prime is 320455859. The next prime is 320455901. The reversal of 320455872 is 278554023.

320455872 is a `hidden beast` number, since 32 + 0 + 4 + 558 + 72 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436818 + ... + 437550.

Almost surely, 2^320455872 is an apocalyptic number.

320455872 is a gapful number since it is divisible by the number (32) 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 320455872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536935680).

320455872 is an abundant number, since it is smaller than the sum of its proper divisors (753415488).

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

320455872 is a wasteful number, since it uses less digits than its factorization.

320455872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 320455872 is about 17901.2812949241. The cubic root of 320455872 is about 684.3150287851.

The spelling of 320455872 in words is "three hundred twenty million, four hundred fifty-five thousand, eight hundred seventy-two".