415634112 has 112 divisors (see below), whose sum is σ = 1261465600. Its totient is φ = 134058240.

The previous prime is 415634111. The next prime is 415634137. The reversal of 415634112 is 211436514.

It is a happy number.

415634112 is a `hidden beast` number, since 4 + 15 + 634 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415634111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49689 + ... + 57447.

Almost surely, 2^415634112 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 415634112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630732800).

415634112 is an abundant number, since it is smaller than the sum of its proper divisors (845831488).

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

415634112 is a wasteful number, since it uses less digits than its factorization.

415634112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7811 (or 7795 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 415634112 is about 20387.1065136767. The cubic root of 415634112 is about 746.2833080257.

It can be divided in two parts, 4 and 15634112, that added together give a square (15634116 = 3954²).

The spelling of 415634112 in words is "four hundred fifteen million, six hundred thirty-four thousand, one hundred twelve".