329420800 has 78 divisors (see below), whose sum is σ = 817117778. Its totient is φ = 131727360.

The previous prime is 329420783. The next prime is 329420813. The reversal of 329420800 is 8024923.

It can be written as a sum of positive squares in 3 ways, for example, as 71368704 + 258052096 = 8448^2 + 16064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100792 + ... + 104008.

Almost surely, 2^329420800 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 329420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408558889).

329420800 is an abundant number, since it is smaller than the sum of its proper divisors (487696978).

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

329420800 is an equidigital number, since it uses as much as digits as its factorization.

329420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 329420800 is about 18149.9531679837. The cubic root of 329420800 is about 690.6377915773.

The spelling of 329420800 in words is "three hundred twenty-nine million, four hundred twenty thousand, eight hundred".