330417220 has 96 divisors (see below), whose sum is σ = 861880320. Its totient is φ = 103835520.

The previous prime is 330417209. The next prime is 330417223. The reversal of 330417220 is 22714033.

It is a junction number, because it is equal to n+sod(n) for n = 330417191 and 330417200.

It is not an unprimeable number, because it can be changed into a prime (330417223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80457 + ... + 84463.

It is an arithmetic number, because the mean of its divisors is an integer number (8977920).

Almost surely, 2^330417220 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 330417220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430940160).

330417220 is an abundant number, since it is smaller than the sum of its proper divisors (531463100).

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

330417220 is a wasteful number, since it uses less digits than its factorization.

330417220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4073 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 330417220 is about 18177.3820997414. The cubic root of 330417220 is about 691.3334293210. Note that the first 3 decimals are identical.

The spelling of 330417220 in words is "three hundred thirty million, four hundred seventeen thousand, two hundred twenty".