329998512 has 80 divisors (see below), whose sum is σ = 881515008. Its totient is φ = 106310400.

The previous prime is 329998499. The next prime is 329998519. The reversal of 329998512 is 215899923.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (329998519) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 207673 + ... + 209255.

Almost surely, 2^329998512 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 329998512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440757504).

329998512 is an abundant number, since it is smaller than the sum of its proper divisors (551516496).

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

329998512 is a wasteful number, since it uses less digits than its factorization.

329998512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1732 counting only the distinct ones).

The product of its digits is 349920, while the sum is 48.

The square root of 329998512 is about 18165.8611686867. The cubic root of 329998512 is about 691.0412843420.

The spelling of 329998512 in words is "three hundred twenty-nine million, nine hundred ninety-eight thousand, five hundred twelve".