329133220 has 72 divisors (see below), whose sum is σ = 778442616. Its totient is φ = 116193792.

The previous prime is 329133193. The next prime is 329133221. The reversal of 329133220 is 22331923.

It can be written as a sum of positive squares in 4 ways, for example, as 12222016 + 316911204 = 3496^2 + 17802^2 .

It is not an unprimeable number, because it can be changed into a prime (329133221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136344 + ... + 138736.

It is an arithmetic number, because the mean of its divisors is an integer number (10811703).

Almost surely, 2^329133220 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 329133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389221308).

329133220 is an abundant number, since it is smaller than the sum of its proper divisors (449309396).

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

329133220 is a wasteful number, since it uses less digits than its factorization.

329133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 329133220 is about 18142.0291037138. The cubic root of 329133220 is about 690.4367605153.

The spelling of 329133220 in words is "three hundred twenty-nine million, one hundred thirty-three thousand, two hundred twenty".