224504 has 32 divisors (see below), whose sum is σ = 508800. Its totient is φ = 90720.

The previous prime is 224501. The next prime is 224513. The reversal of 224504 is 405422.

224504 is a modest number, since divided by 504 gives 224 as remainder.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224501) 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 7 ways as a sum of consecutive naturals, for example, 959 + ... + 1169.

It is an arithmetic number, because the mean of its divisors is an integer number (15900).

2²²⁴⁵⁰⁴ 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 224504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254400).

224504 is an abundant number, since it is smaller than the sum of its proper divisors (284296).

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

224504 is a wasteful number, since it uses less digits than its factorization.

224504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 224504 is about 473.8185306634. The cubic root of 224504 is about 60.7772941531. Note that the first 3 decimals are identical.

Adding to 224504 its reverse (405422), we get a palindrome (629926).

It can be divided in two parts, 224 and 504, that multiplied together give a square (112896 = 336²).

The spelling of 224504 in words is "two hundred twenty-four thousand, five hundred four".