438224 has 20 divisors (see below), whose sum is σ = 864900. Its totient is φ = 215040.

The previous prime is 438223. The next prime is 438233. The reversal of 438224 is 422834.

It can be written as a sum of positive squares in 2 ways, for example, as 115600 + 322624 = 340^2 + 568^2 .

Its product of digits (1536) is a multiple of the sum of its prime divisors (512).

It is a self number, because there is not a number n which added to its sum of digits gives 438224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438223) 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 3 ways as a sum of consecutive naturals, for example, 752 + ... + 1200.

It is an arithmetic number, because the mean of its divisors is an integer number (43245).

2⁴³⁸²²⁴ is an apocalyptic number.

It is an amenable number.

438224 is a deficient number, since it is larger than the sum of its proper divisors (426676).

438224 is a wasteful number, since it uses less digits than its factorization.

438224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 512 counting only the distinct ones).

The product of its digits is 1536, while the sum is 23.

The square root of 438224 is about 661.9848940875. The cubic root of 438224 is about 75.9565772264.

The spelling of 438224 in words is "four hundred thirty-eight thousand, two hundred twenty-four".