415150112 has 48 divisors (see below), whose sum is σ = 890167320. Its totient is φ = 189437952.

The previous prime is 415150111. The next prime is 415150129. The reversal of 415150112 is 211051514.

It can be written as a sum of positive squares in 4 ways, for example, as 104121616 + 311028496 = 10204^2 + 17636^2 .

It is a super-2 number, since 2×415150112² = 344699230987225088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (415150111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31418 + ... + 42630.

Almost surely, 2^415150112 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 415150112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445083660).

415150112 is an abundant number, since it is smaller than the sum of its proper divisors (475017208).

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

415150112 is a wasteful number, since it uses less digits than its factorization.

415150112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11325 (or 11317 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The square root of 415150112 is about 20375.2328084859. The cubic root of 415150112 is about 745.9935167518.

The spelling of 415150112 in words is "four hundred fifteen million, one hundred fifty thousand, one hundred twelve".