321472512 has 144 divisors (see below), whose sum is σ = 942898320. Its totient is φ = 105504768.

The previous prime is 321472493. The next prime is 321472577. The reversal of 321472512 is 215274123.

321472512 is a `hidden beast` number, since 3 + 2 + 147 + 2 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1972143 + ... + 1972305.

It is an arithmetic number, because the mean of its divisors is an integer number (6547905).

Almost surely, 2^321472512 is an apocalyptic number.

321472512 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 321472512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471449160).

321472512 is an abundant number, since it is smaller than the sum of its proper divisors (621425808).

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

321472512 is a wasteful number, since it uses less digits than its factorization.

321472512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 275 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 321472512 is about 17929.6545421266. The cubic root of 321472512 is about 685.0379235580.

The spelling of 321472512 in words is "three hundred twenty-one million, four hundred seventy-two thousand, five hundred twelve".