414224538 has 48 divisors (see below), whose sum is σ = 1037846880. Its totient is φ = 109245024.

The previous prime is 414224497. The next prime is 414224539. The reversal of 414224538 is 835422414.

It is a junction number, because it is equal to n+sod(n) for n = 414224499 and 414224508.

It is not an unprimeable number, because it can be changed into a prime (414224539) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 50368 + ... + 58011.

It is an arithmetic number, because the mean of its divisors is an integer number (21621810).

Almost surely, 2^414224538 is an apocalyptic number.

414224538 is an abundant number, since it is smaller than the sum of its proper divisors (623622342).

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

414224538 is a wasteful number, since it uses less digits than its factorization.

414224538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108411 (or 108404 counting only the distinct ones).

The product of its digits is 30720, while the sum is 33.

The square root of 414224538 is about 20352.5069217529. The cubic root of 414224538 is about 745.4387086202.

It can be divided in two parts, 4142 and 24538, that added together give a triangular number (28680 = T₂₃₉).

The spelling of 414224538 in words is "four hundred fourteen million, two hundred twenty-four thousand, five hundred thirty-eight".