329949800 has 48 divisors (see below), whose sum is σ = 769286700. Its totient is φ = 131609600.

The previous prime is 329949797. The next prime is 329949811. The reversal of 329949800 is 8949923.

It can be written as a sum of positive squares in 6 ways, for example, as 181548676 + 148401124 = 13474^2 + 12182^2 .

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 11 ways as a sum of consecutive naturals, for example, 75680 + ... + 79920.

Almost surely, 2^329949800 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 329949800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384643350).

329949800 is an abundant number, since it is smaller than the sum of its proper divisors (439336900).

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

329949800 is a wasteful number, since it uses less digits than its factorization.

329949800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4646 (or 4637 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 44.

The square root of 329949800 is about 18164.5203625089. The cubic root of 329949800 is about 691.0072804922.

The spelling of 329949800 in words is "three hundred twenty-nine million, nine hundred forty-nine thousand, eight hundred".