331584416 has 24 divisors (see below), whose sum is σ = 653218020. Its totient is φ = 165687808.

The previous prime is 331584367. The next prime is 331584437. The reversal of 331584416 is 614485133.

It can be written as a sum of positive squares in 2 ways, for example, as 331094416 + 490000 = 18196^2 + 700^2 .

It is a super-2 number, since 2×331584416² = 219896449868122112, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85430 + ... + 89226.

Almost surely, 2^331584416 is an apocalyptic number.

It is an amenable number.

331584416 is a deficient number, since it is larger than the sum of its proper divisors (321633604).

331584416 is a wasteful number, since it uses less digits than its factorization.

331584416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6536 (or 6528 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The square root of 331584416 is about 18209.4595197112. The cubic root of 331584416 is about 692.1465158038.

The spelling of 331584416 in words is "three hundred thirty-one million, five hundred eighty-four thousand, four hundred sixteen".