224788480 has 144 divisors (see below), whose sum is σ = 629143200. Its totient is φ = 77070336.

The previous prime is 224788469. The next prime is 224788507. The reversal of 224788480 is 84887422.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32112637 + ... + 32112643.

It is an arithmetic number, because the mean of its divisors is an integer number (4369050).

Almost surely, 2^224788480 is an apocalyptic number.

224788480 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 224788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314571600).

224788480 is an abundant number, since it is smaller than the sum of its proper divisors (404354720).

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

224788480 is an frugal number, since it uses more digits than its factorization.

224788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 43.

The square root of 224788480 is about 14992.9476754906. The cubic root of 224788480 is about 608.0295461173.

The spelling of 224788480 in words is "two hundred twenty-four million, seven hundred eighty-eight thousand, four hundred eighty".