5438224 has 45 divisors (see below), whose sum is σ = 11804149. Its totient is φ = 2425280.

The previous prime is 5438219. The next prime is 5438227. The reversal of 5438224 is 4228345.

The square root of 5438224 is 2332.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3920400 + 1517824 = 1980^2 + 1232^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5438192 and 5438201.

It is not an unprimeable number, because it can be changed into a prime (5438227) 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 8 ways as a sum of consecutive naturals, for example, 102582 + ... + 102634.

Almost surely, 2^5438224 is an apocalyptic number.

5438224 is the 2332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5438224

5438224 is an abundant number, since it is smaller than the sum of its proper divisors (6365925).

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

5438224 is a wasteful number, since it uses less digits than its factorization.

5438224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 66 counting only the distinct ones).

The product of its digits is 7680, while the sum is 28.

The cubic root of 5438224 is about 175.8540456622.

The spelling of 5438224 in words is "five million, four hundred thirty-eight thousand, two hundred twenty-four".