4438224 has 180 divisors, whose sum is σ = 15712164. Its totient is φ = 1161216.

The previous prime is 4438223. The next prime is 4438237. The reversal of 4438224 is 4228344.

It is a happy number.

4438224 is a `hidden beast` number, since 4 + 438 + 224 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3732624 + 705600 = 1932^2 + 840^2 .

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 (4438223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 119934 + ... + 119970.

Almost surely, 2^4438224 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 4438224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7856082).

4438224 is an abundant number, since it is smaller than the sum of its proper divisors (11273940).

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

4438224 is a wasteful number, since it uses less digits than its factorization.

4438224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 66 counting only the distinct ones).

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

The square root of 4438224 is about 2106.7092822694. The cubic root of 4438224 is about 164.3373977996.

The spelling of 4438224 in words is "four million, four hundred thirty-eight thousand, two hundred twenty-four".