413114112 has 108 divisors (see below), whose sum is σ = 1253932680. Its totient is φ = 130443264.

The previous prime is 413114069. The next prime is 413114137. The reversal of 413114112 is 211411314.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39058 + ... + 48494.

Almost surely, 2^413114112 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 413114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626966340).

413114112 is an abundant number, since it is smaller than the sum of its proper divisors (840818568).

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

413114112 is a wasteful number, since it uses less digits than its factorization.

413114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9478 (or 9461 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 413114112 is about 20325.2087812155. The cubic root of 413114112 is about 744.7720047640.

Adding to 413114112 its reverse (211411314), we get a palindrome (624525426).

The spelling of 413114112 in words is "four hundred thirteen million, one hundred fourteen thousand, one hundred twelve".