414424413 has 48 divisors (see below), whose sum is σ = 677214720. Its totient is φ = 242428032.

The previous prime is 414424363. The next prime is 414424429. The reversal of 414424413 is 314424414.

414424413 is a `hidden beast` number, since 414 + 4 + 244 + 1 + 3 = 666.

It is not a de Polignac number, because 414424413 - 2⁶ = 414424349 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414424613) 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 47 ways as a sum of consecutive naturals, for example, 226420 + ... + 228242.

It is an arithmetic number, because the mean of its divisors is an integer number (14108640).

Almost surely, 2^414424413 is an apocalyptic number.

It is an amenable number.

414424413 is a deficient number, since it is larger than the sum of its proper divisors (262790307).

414424413 is a wasteful number, since it uses less digits than its factorization.

414424413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1935 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 414424413 is about 20357.4166583091. The cubic root of 414424413 is about 745.5585877276.

Adding to 414424413 its reverse (314424414), we get a palindrome (728848827).

Subtracting from 414424413 its reverse (314424414), we obtain a palindrome (99999999).

The spelling of 414424413 in words is "four hundred fourteen million, four hundred twenty-four thousand, four hundred thirteen".