224487120 has 320 divisors, whose sum is σ = 847945728. Its totient is φ = 48384000.

The previous prime is 224487119. The next prime is 224487127. The reversal of 224487120 is 21784422.

224487120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224487127) 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 63 ways as a sum of consecutive naturals, for example, 1063815 + ... + 1064025.

Almost surely, 2^224487120 is an apocalyptic number.

224487120 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 224487120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423972864).

224487120 is an abundant number, since it is smaller than the sum of its proper divisors (623458608).

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

224487120 is a wasteful number, since it uses less digits than its factorization.

224487120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 224487120 is about 14982.8942464398. The cubic root of 224487120 is about 607.7577087447.

The spelling of 224487120 in words is "two hundred twenty-four million, four hundred eighty-seven thousand, one hundred twenty".