415224117 has 128 divisors (see below), whose sum is σ = 812851200. Its totient is φ = 203212800.

The previous prime is 415224091. The next prime is 415224127. The reversal of 415224117 is 711422514.

415224117 is a `hidden beast` number, since 415 + 2 + 241 + 1 + 7 = 666.

It is not a de Polignac number, because 415224117 - 2⁶ = 415224053 is a prime.

It is a super-2 number, since 2×415224117² = 344822134676859378, which contains 22 as substring.

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

415224117 is a Rhonda number in base 10.

Its product of digits (2240) is a multiple of the sum of its prime factors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415224127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4280613 + ... + 4280709.

It is an arithmetic number, because the mean of its divisors is an integer number (6350400).

Almost surely, 2^415224117 is an apocalyptic number.

It is an amenable number.

415224117 is a deficient number, since it is larger than the sum of its proper divisors (397627083).

415224117 is a wasteful number, since it uses less digits than its factorization.

415224117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 415224117 is about 20377.0487804294. The cubic root of 415224117 is about 746.0378412572.

The spelling of 415224117 in words is "four hundred fifteen million, two hundred twenty-four thousand, one hundred seventeen".