224530444800 has 720 divisors, whose sum is σ = 856253029632. Its totient is φ = 58226688000.

The previous prime is 224530444783. The next prime is 224530444807. The reversal of 224530444800 is 8444035422.

224530444800 is a `hidden beast` number, since 2 + 2 + 4 + 530 + 4 + 44 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (224530444807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 115083825 + ... + 115085775.

Almost surely, 2^224530444800 is an apocalyptic number.

224530444800 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 224530444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428126514816).

224530444800 is an abundant number, since it is smaller than the sum of its proper divisors (631722584832).

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

224530444800 is an equidigital number, since it uses as much as digits as its factorization.

224530444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 224530444800 in words is "two hundred twenty-four billion, five hundred thirty million, four hundred forty-four thousand, eight hundred".