329112420 has 288 divisors, whose sum is σ = 1179763200. Its totient is φ = 67931136.

The previous prime is 329112403. The next prime is 329112431. The reversal of 329112420 is 24211923.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3019326 + ... + 3019434.

It is an arithmetic number, because the mean of its divisors is an integer number (4096400).

Almost surely, 2^329112420 is an apocalyptic number.

329112420 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 329112420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589881600).

329112420 is an abundant number, since it is smaller than the sum of its proper divisors (850650780).

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

329112420 is a wasteful number, since it uses less digits than its factorization.

329112420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 329112420 is about 18141.4558401469. The cubic root of 329112420 is about 690.4222158606.

The spelling of 329112420 in words is "three hundred twenty-nine million, one hundred twelve thousand, four hundred twenty".