413301180 has 96 divisors (see below), whose sum is σ = 1183924224. Its totient is φ = 107702784.

The previous prime is 413301157. The next prime is 413301193. The reversal of 413301180 is 81103314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555889 + ... + 556631.

It is an arithmetic number, because the mean of its divisors is an integer number (12332544).

Almost surely, 2^413301180 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 413301180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591962112).

413301180 is an abundant number, since it is smaller than the sum of its proper divisors (770623044).

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

413301180 is a wasteful number, since it uses less digits than its factorization.

413301180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 413301180 is about 20329.8101319220. The cubic root of 413301180 is about 744.8844046886.

Adding to 413301180 its reverse (81103314), we get a palindrome (494404494).

The spelling of 413301180 in words is "four hundred thirteen million, three hundred one thousand, one hundred eighty".