412414112 has 48 divisors (see below), whose sum is σ = 892231200. Its totient is φ = 186090240.

The previous prime is 412414103. The next prime is 412414117. The reversal of 412414112 is 211414214.

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

It is not an unprimeable number, because it can be changed into a prime (412414117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44714 + ... + 53142.

It is an arithmetic number, because the mean of its divisors is an integer number (18588150).

Almost surely, 2^412414112 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 412414112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446115600).

412414112 is an abundant number, since it is smaller than the sum of its proper divisors (479817088).

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

412414112 is a wasteful number, since it uses less digits than its factorization.

412414112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8589 (or 8581 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 412414112 is about 20307.9814851206. The cubic root of 412414112 is about 744.3511080296.

Adding to 412414112 its reverse (211414214), we get a palindrome (623828326).

The spelling of 412414112 in words is "four hundred twelve million, four hundred fourteen thousand, one hundred twelve".