331679504 has 160 divisors (see below), whose sum is σ = 787449600. Its totient is φ = 133816320.

The previous prime is 331679501. The next prime is 331679539. The reversal of 331679504 is 405976133.

It is a happy number.

It is a super-2 number, since 2×331679504² = 220022586747372032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (331679501) by changing a digit.

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, 3726692 + ... + 3726780.

It is an arithmetic number, because the mean of its divisors is an integer number (4921560).

Almost surely, 2^331679504 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 331679504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393724800).

331679504 is an abundant number, since it is smaller than the sum of its proper divisors (455770096).

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

331679504 is a wasteful number, since it uses less digits than its factorization.

331679504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 38.

The square root of 331679504 is about 18212.0702831941. The cubic root of 331679504 is about 692.2126714437.

The spelling of 331679504 in words is "three hundred thirty-one million, six hundred seventy-nine thousand, five hundred four".