413304112 has 80 divisors (see below), whose sum is σ = 947439360. Its totient is φ = 172820736.

The previous prime is 413304107. The next prime is 413304127. The reversal of 413304112 is 211403314.

It is a super-2 number, since 2×413304112² = 341640577992217088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 413304112.

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, 88623 + ... + 93169.

It is an arithmetic number, because the mean of its divisors is an integer number (11842992).

Almost surely, 2^413304112 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 413304112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473719680).

413304112 is an abundant number, since it is smaller than the sum of its proper divisors (534135248).

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

413304112 is a wasteful number, since it uses less digits than its factorization.

413304112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4610 (or 4604 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 413304112 is about 20329.8822426496. The cubic root of 413304112 is about 744.8861661126.

Adding to 413304112 its reverse (211403314), we get a palindrome (624707426).

The spelling of 413304112 in words is "four hundred thirteen million, three hundred four thousand, one hundred twelve".