414680112 has 240 divisors, whose sum is σ = 1462406400. Its totient is φ = 106560000.

The previous prime is 414680093. The next prime is 414680131. The reversal of 414680112 is 211086414.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (414680093) and next prime (414680131).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1651987 + ... + 1652237.

It is an arithmetic number, because the mean of its divisors is an integer number (6093360).

Almost surely, 2^414680112 is an apocalyptic number.

414680112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414680112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731203200).

414680112 is an abundant number, since it is smaller than the sum of its proper divisors (1047726288).

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

414680112 is a wasteful number, since it uses less digits than its factorization.

414680112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 414680112 is about 20363.6959317311. The cubic root of 414680112 is about 745.7118922345.

The spelling of 414680112 in words is "four hundred fourteen million, six hundred eighty thousand, one hundred twelve".