224784 has 60 divisors (see below), whose sum is σ = 722176. Its totient is φ = 63936.

The previous prime is 224771. The next prime is 224797. The reversal of 224784 is 487422.

It is an interprime number because it is at equal distance from previous prime (224771) and next prime (224797).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

224784 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 11 ways as a sum of consecutive naturals, for example, 897 + ... + 1119.

2²²⁴⁷⁸⁴ is an apocalyptic number.

224784 is a gapful number since it is divisible by the number (24) 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 224784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361088).

224784 is an abundant number, since it is smaller than the sum of its proper divisors (497392).

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

224784 is a wasteful number, since it uses less digits than its factorization.

224784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 235 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 224784 is about 474.1139103633. The cubic root of 224784 is about 60.8025506778.

It can be divided in two parts, 224 and 784, that multiplied together give a cube (175616 = 56³).

The spelling of 224784 in words is "two hundred twenty-four thousand, seven hundred eighty-four".