330413220 has 72 divisors (see below), whose sum is σ = 1004814720. Its totient is φ = 87885120.

The previous prime is 330413203. The next prime is 330413273. The reversal of 330413220 is 22314033.

330413220 is a `hidden beast` number, since 3 + 30 + 413 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 330413193 and 330413202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75451 + ... + 79709.

It is an arithmetic number, because the mean of its divisors is an integer number (13955760).

Almost surely, 2^330413220 is an apocalyptic number.

330413220 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 330413220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502407360).

330413220 is an abundant number, since it is smaller than the sum of its proper divisors (674401500).

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

330413220 is a wasteful number, since it uses less digits than its factorization.

330413220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4705 (or 4700 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 330413220 is about 18177.2720725636. The cubic root of 330413220 is about 691.3306395705.

Adding to 330413220 its reverse (22314033), we get a palindrome (352727253).

The spelling of 330413220 in words is "three hundred thirty million, four hundred thirteen thousand, two hundred twenty".