332904 has 64 divisors (see below), whose sum is σ = 987840. Its totient is φ = 92160.

The previous prime is 332903. The next prime is 332921. The reversal of 332904 is 409233.

It is a super-2 number, since 2×332904² = 221650146432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3384 + ... + 3480.

It is an arithmetic number, because the mean of its divisors is an integer number (15435).

2³³²⁹⁰⁴ 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 332904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493920).

332904 is an abundant number, since it is smaller than the sum of its proper divisors (654936).

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

332904 is a wasteful number, since it uses less digits than its factorization.

332904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 332904 is about 576.9783358151. The cubic root of 332904 is about 69.3063463347.

The spelling of 332904 in words is "three hundred thirty-two thousand, nine hundred four".