224480 has 48 divisors (see below), whose sum is σ = 562464. Its totient is φ = 84480.

The previous prime is 224473. The next prime is 224491. The reversal of 224480 is 84422.

224480 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

224480 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, 3650 + ... + 3710.

It is an arithmetic number, because the mean of its divisors is an integer number (11718).

2²²⁴⁴⁸⁰ is an apocalyptic number.

224480 is a gapful number since it is divisible by the number (20) 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 224480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281232).

224480 is an abundant number, since it is smaller than the sum of its proper divisors (337984).

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

224480 is a wasteful number, since it uses less digits than its factorization.

224480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 224480 is about 473.7932038348. The cubic root of 224480 is about 60.7751283312.

The spelling of 224480 in words is "two hundred twenty-four thousand, four hundred eighty".