413414424 has 48 divisors (see below), whose sum is σ = 1121491800. Its totient is φ = 137579904.

The previous prime is 413414411. The next prime is 413414429. The reversal of 413414424 is 424414314.

It is a super-2 number, since 2×413414424² = 341822971942503552, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413414429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43092 + ... + 51804.

Almost surely, 2^413414424 is an apocalyptic number.

It is an amenable number.

413414424 is an abundant number, since it is smaller than the sum of its proper divisors (708077376).

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

413414424 is a wasteful number, since it uses less digits than its factorization.

413414424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9384 (or 9377 counting only the distinct ones).

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

The square root of 413414424 is about 20332.5951122822. The cubic root of 413414424 is about 744.9524309372.

Adding to 413414424 its reverse (424414314), we get a palindrome (837828738).

The spelling of 413414424 in words is "four hundred thirteen million, four hundred fourteen thousand, four hundred twenty-four".