224448 has 56 divisors (see below), whose sum is σ = 682752. Its totient is φ = 63744.

The previous prime is 224443. The next prime is 224449. The reversal of 224448 is 844422.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (224443) by changing a digit.

224448 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1261 + ... + 1427.

It is an arithmetic number, because the mean of its divisors is an integer number (12192).

2²²⁴⁴⁴⁸ is an apocalyptic number.

224448 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341376).

224448 is an abundant number, since it is smaller than the sum of its proper divisors (458304).

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

224448 is a wasteful number, since it uses less digits than its factorization.

224448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 179 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 224448 is about 473.7594326238. The cubic root of 224448 is about 60.7722403285.

The spelling of 224448 in words is "two hundred twenty-four thousand, four hundred forty-eight".