415995216 has 160 divisors (see below), whose sum is σ = 1334581248. Its totient is φ = 108725760.

The previous prime is 415995211. The next prime is 415995221. The reversal of 415995216 is 612599514.

It is an interprime number because it is at equal distance from previous prime (415995211) and next prime (415995221).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415995211) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 571845 + ... + 572571.

Almost surely, 2^415995216 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 415995216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667290624).

415995216 is an abundant number, since it is smaller than the sum of its proper divisors (918586032).

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

415995216 is a wasteful number, since it uses less digits than its factorization.

415995216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 883 counting only the distinct ones).

The product of its digits is 97200, while the sum is 42.

The square root of 415995216 is about 20395.9607765852. The cubic root of 415995216 is about 746.4993697606.

The spelling of 415995216 in words is "four hundred fifteen million, nine hundred ninety-five thousand, two hundred sixteen".