414241424 has 20 divisors (see below), whose sum is σ = 803655036. Its totient is φ = 206846592.

The previous prime is 414241393. The next prime is 414241433. The reversal of 414241424 is 424142414.

It can be written as a sum of positive squares in 2 ways, for example, as 254977024 + 159264400 = 15968^2 + 12620^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 414241393 and 414241402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4379 + ... + 29114.

Almost surely, 2^414241424 is an apocalyptic number.

It is an amenable number.

414241424 is a deficient number, since it is larger than the sum of its proper divisors (389413612).

414241424 is a wasteful number, since it uses less digits than its factorization.

414241424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34274 (or 34268 counting only the distinct ones).

The product of its digits is 4096, while the sum is 26.

The square root of 414241424 is about 20352.9217558561. The cubic root of 414241424 is about 745.4488378342.

Adding to 414241424 its reverse (424142414), we get a palindrome (838383838).

The spelling of 414241424 in words is "four hundred fourteen million, two hundred forty-one thousand, four hundred twenty-four".