414314424 has 48 divisors (see below), whose sum is σ = 1124224920. Its totient is φ = 137843520.

The previous prime is 414314401. The next prime is 414314431. The reversal of 414314424 is 424413414.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 34939 + ... + 45269.

Almost surely, 2^414314424 is an apocalyptic number.

It is an amenable number.

414314424 is an abundant number, since it is smaller than the sum of its proper divisors (709910496).

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

414314424 is a wasteful number, since it uses less digits than its factorization.

414314424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10900 (or 10893 counting only the distinct ones).

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

The square root of 414314424 is about 20354.7150311666. The cubic root of 414314424 is about 745.4926243523.

Adding to 414314424 its reverse (424413414), we get a palindrome (838727838).

The spelling of 414314424 in words is "four hundred fourteen million, three hundred fourteen thousand, four hundred twenty-four".