414444112 has 40 divisors (see below), whose sum is σ = 855996800. Its totient is φ = 193819392.

The previous prime is 414444109. The next prime is 414444127. The reversal of 414444112 is 211444414.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15388 + ... + 32644.

It is an arithmetic number, because the mean of its divisors is an integer number (21399920).

Almost surely, 2^414444112 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 414444112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427998400).

414444112 is an abundant number, since it is smaller than the sum of its proper divisors (441552688).

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

414444112 is a wasteful number, since it uses less digits than its factorization.

414444112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17363 (or 17357 counting only the distinct ones).

The product of its digits is 2048, while the sum is 25.

The square root of 414444112 is about 20357.9004811400. The cubic root of 414444112 is about 745.5704005177.

Adding to 414444112 its reverse (211444414), we get a palindrome (625888526).

The spelling of 414444112 in words is "four hundred fourteen million, four hundred forty-four thousand, one hundred twelve".