4484224800 has 576 divisors, whose sum is σ = 17987598720. Its totient is φ = 1082419200.

The previous prime is 4484224799. The next prime is 4484224841. The reversal of 4484224800 is 84224844.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19245484 + ... + 19245716.

It is an arithmetic number, because the mean of its divisors is an integer number (31228470).

Almost surely, 2^4484224800 is an apocalyptic number.

4484224800 is a gapful number since it is divisible by the number (40) 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 4484224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8993799360).

4484224800 is an abundant number, since it is smaller than the sum of its proper divisors (13503373920).

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

4484224800 is a wasteful number, since it uses less digits than its factorization.

4484224800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 254 counting only the distinct ones).

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

The square root of 4484224800 is about 66964.3546971073. The cubic root of 4484224800 is about 1649.0321596777.

The spelling of 4484224800 in words is "four billion, four hundred eighty-four million, two hundred twenty-four thousand, eight hundred".