329221420 has 48 divisors (see below), whose sum is σ = 761191200. Its totient is φ = 118609920.

The previous prime is 329221411. The next prime is 329221423. The reversal of 329221420 is 24122923.

It is not an unprimeable number, because it can be changed into a prime (329221423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17116 + ... + 30844.

It is an arithmetic number, because the mean of its divisors is an integer number (15858150).

Almost surely, 2^329221420 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 329221420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380595600).

329221420 is an abundant number, since it is smaller than the sum of its proper divisors (431969780).

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

329221420 is a wasteful number, since it uses less digits than its factorization.

329221420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13858 (or 13856 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 329221420 is about 18144.4597604889. The cubic root of 329221420 is about 690.4984286381.

The spelling of 329221420 in words is "three hundred twenty-nine million, two hundred twenty-one thousand, four hundred twenty".