413220330 has 48 divisors (see below), whose sum is σ = 1094656680. Its totient is φ = 108111744.

The previous prime is 413220319. The next prime is 413220331. The reversal of 413220330 is 33022314.

413220330 is a `hidden beast` number, since 413 + 220 + 3 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 367373889 + 45846441 = 19167^2 + 6771^2 .

It is a super-2 number, since 2×413220330² = 341502082250617800, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (413220331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38545 + ... + 48084.

Almost surely, 2^413220330 is an apocalyptic number.

413220330 is an abundant number, since it is smaller than the sum of its proper divisors (681436350).

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

413220330 is a wasteful number, since it uses less digits than its factorization.

413220330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86695 (or 86692 counting only the distinct ones).

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

The square root of 413220330 is about 20327.8215753681. The cubic root of 413220330 is about 744.8358300781.

Adding to 413220330 its reverse (33022314), we get a palindrome (446242644).

The spelling of 413220330 in words is "four hundred thirteen million, two hundred twenty thousand, three hundred thirty".