330745920 has 112 divisors (see below), whose sum is σ = 1105448640. Its totient is φ = 83552256.

The previous prime is 330745873. The next prime is 330745949. The reversal of 330745920 is 29547033.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9174 + ... + 27306.

Almost surely, 2^330745920 is an apocalyptic number.

330745920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552724320).

330745920 is an abundant number, since it is smaller than the sum of its proper divisors (774702720).

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

330745920 is a wasteful number, since it uses less digits than its factorization.

330745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18172 (or 18162 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 330745920 is about 18186.4213082178. The cubic root of 330745920 is about 691.5626001720.

The spelling of 330745920 in words is "three hundred thirty million, seven hundred forty-five thousand, nine hundred twenty".