224879004800 has 216 divisors, whose sum is σ = 567917484195. Its totient is φ = 87987968000.

The previous prime is 224879004781. The next prime is 224879004803. The reversal of 224879004800 is 8400978422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 199694584384 + 25184420416 = 446872^2 + 158696^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335320.

It is not an unprimeable number, because it can be changed into a prime (224879004803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2226524750 + ... + 2226524850.

Almost surely, 2^224879004800 is an apocalyptic number.

224879004800 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 224879004800

224879004800 is an abundant number, since it is smaller than the sum of its proper divisors (343038479395).

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

224879004800 is an frugal number, since it uses more digits than its factorization.

224879004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 224879004800 in words is "two hundred twenty-four billion, eight hundred seventy-nine million, four thousand, eight hundred".