329484900 has 72 divisors (see below), whose sum is σ = 956431840. Its totient is φ = 87575040.

The previous prime is 329484839. The next prime is 329484929. The reversal of 329484900 is 9484923.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 99471 + ... + 102729.

Almost surely, 2^329484900 is an apocalyptic number.

329484900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329484900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478215920).

329484900 is an abundant number, since it is smaller than the sum of its proper divisors (626946940).

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

329484900 is a wasteful number, since it uses less digits than its factorization.

329484900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3613 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 329484900 is about 18151.7189268675. The cubic root of 329484900 is about 690.6825843483.

The spelling of 329484900 in words is "three hundred twenty-nine million, four hundred eighty-four thousand, nine hundred".