329904 has 60 divisors (see below), whose sum is σ = 967200. Its totient is φ = 104832.

The previous prime is 329899. The next prime is 329941. The reversal of 329904 is 409923.

329904 = T₄₉ + T₅₀ + ... + T₁₂₇.

329904 = 42³ + 43³ + ... + 45³.

It is an unprimeable number.

329904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4137 + ... + 4215.

It is an arithmetic number, because the mean of its divisors is an integer number (16120).

2³²⁹⁹⁰⁴ 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 329904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483600).

329904 is an abundant number, since it is smaller than the sum of its proper divisors (637296).

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

329904 is a wasteful number, since it uses less digits than its factorization.

329904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 329904 is about 574.3727013012. The cubic root of 329904 is about 69.0975306337.

The spelling of 329904 in words is "three hundred twenty-nine thousand, nine hundred four".