414444224 has 56 divisors (see below), whose sum is σ = 878756688. Its totient is φ = 193249280.

The previous prime is 414444223. The next prime is 414444227. The reversal of 414444224 is 422444414.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (414444221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121259 + ... + 124629.

Almost surely, 2^414444224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414444224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439378344).

414444224 is an abundant number, since it is smaller than the sum of its proper divisors (464312464).

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

414444224 is a wasteful number, since it uses less digits than its factorization.

414444224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3513 (or 3503 counting only the distinct ones).

The product of its digits is 16384, while the sum is 29.

The square root of 414444224 is about 20357.9032319146. The cubic root of 414444224 is about 745.5704676791.

Adding to 414444224 its reverse (422444414), we get a palindrome (836888638).

The spelling of 414444224 in words is "four hundred fourteen million, four hundred forty-four thousand, two hundred twenty-four".