224444880 has 240 divisors, whose sum is σ = 871176384. Its totient is φ = 51179520.

The previous prime is 224444873. The next prime is 224444903. The reversal of 224444880 is 88444422.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133807 + ... + 135473.

Almost surely, 2^224444880 is an apocalyptic number.

224444880 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 224444880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435588192).

224444880 is an abundant number, since it is smaller than the sum of its proper divisors (646731504).

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

224444880 is a wasteful number, since it uses less digits than its factorization.

224444880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 224444880 is about 14981.4845726316. The cubic root of 224444880 is about 607.7195873357.

The spelling of 224444880 in words is "two hundred twenty-four million, four hundred forty-four thousand, eight hundred eighty".