330345200 has 60 divisors (see below), whose sum is σ = 813052128. Its totient is φ = 128908800.

The previous prime is 330345193. The next prime is 330345203. The reversal of 330345200 is 2543033.

330345200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330345203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6329 + ... + 26471.

Almost surely, 2^330345200 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 330345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406526064).

330345200 is an abundant number, since it is smaller than the sum of its proper divisors (482706928).

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

330345200 is a wasteful number, since it uses less digits than its factorization.

330345200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20202 (or 20191 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 330345200 is about 18175.4009584383. The cubic root of 330345200 is about 691.2831964150.

Adding to 330345200 its reverse (2543033), we get a palindrome (332888233).

The spelling of 330345200 in words is "three hundred thirty million, three hundred forty-five thousand, two hundred".