329144800 has 72 divisors (see below), whose sum is σ = 813369816. Its totient is φ = 130045440.

The previous prime is 329144791. The next prime is 329144813. The reversal of 329144800 is 8441923.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63922 + ... + 68878.

It is an arithmetic number, because the mean of its divisors is an integer number (11296803).

Almost surely, 2^329144800 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 329144800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406684908).

329144800 is an abundant number, since it is smaller than the sum of its proper divisors (484225016).

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

329144800 is a wasteful number, since it uses less digits than its factorization.

329144800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060 (or 5047 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 329144800 is about 18142.3482493309. The cubic root of 329144800 is about 690.4448577066. Note that the first 3 decimals are identical.

The spelling of 329144800 in words is "three hundred twenty-nine million, one hundred forty-four thousand, eight hundred".