224708448 has 96 divisors (see below), whose sum is σ = 629252064. Its totient is φ = 69967872.

The previous prime is 224708447. The next prime is 224708479. The reversal of 224708448 is 844807422.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224708441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255786 + ... + 256662.

It is an arithmetic number, because the mean of its divisors is an integer number (6554709).

Almost surely, 2^224708448 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 224708448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314626032).

224708448 is an abundant number, since it is smaller than the sum of its proper divisors (404543616).

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

224708448 is a wasteful number, since it uses less digits than its factorization.

224708448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 39.

The square root of 224708448 is about 14990.2784497153. The cubic root of 224708448 is about 607.9573781295.

The spelling of 224708448 in words is "two hundred twenty-four million, seven hundred eight thousand, four hundred forty-eight".