414214112 has 96 divisors (see below), whose sum is σ = 955608192. Its totient is φ = 174956544.

The previous prime is 414214093. The next prime is 414214121. The reversal of 414214112 is 211412414.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260873 + ... + 262455.

It is an arithmetic number, because the mean of its divisors is an integer number (9954252).

Almost surely, 2^414214112 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 414214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477804096).

414214112 is an abundant number, since it is smaller than the sum of its proper divisors (541394080).

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

414214112 is a wasteful number, since it uses less digits than its factorization.

414214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1652 counting only the distinct ones).

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

The square root of 414214112 is about 20352.2507846184. The cubic root of 414214112 is about 745.4324543559.

Adding to 414214112 its reverse (211412414), we get a palindrome (625626526).

The spelling of 414214112 in words is "four hundred fourteen million, two hundred fourteen thousand, one hundred twelve".