320482944 has 192 divisors, whose sum is σ = 977394600. Its totient is φ = 100638720.

The previous prime is 320482931. The next prime is 320482969. The reversal of 320482944 is 449284023.

320482944 = 264³ + 265³ + ... + 279³.

320482944 is a `hidden beast` number, since 320 + 48 + 294 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 216442944 + 104040000 = 14712^2 + 10200^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 320482899 and 320482908.

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 23 ways as a sum of consecutive naturals, for example, 1770534 + ... + 1770714.

Almost surely, 2^320482944 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 320482944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488697300).

320482944 is an abundant number, since it is smaller than the sum of its proper divisors (656911656).

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

320482944 is a wasteful number, since it uses less digits than its factorization.

320482944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 320482944 is about 17902.0374259468. The cubic root of 320482944 is about 684.3342984739.

The spelling of 320482944 in words is "three hundred twenty million, four hundred eighty-two thousand, nine hundred forty-four".