4448848800 has 288 divisors, whose sum is σ = 16168965120. Its totient is φ = 1053158400.

The previous prime is 4448848799. The next prime is 4448848801. The reversal of 4448848800 is 88488444.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4448848799) and next prime (4448848801).

It is a super-2 number, since 2×4448848800² = 39584511290522880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4448848800.

It is not an unprimeable number, because it can be changed into a prime (4448848801) by changing a digit.

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, 1133241 + ... + 1137159.

It is an arithmetic number, because the mean of its divisors is an integer number (56142240).

Almost surely, 2^4448848800 is an apocalyptic number.

4448848800 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 4448848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8084482560).

4448848800 is an abundant number, since it is smaller than the sum of its proper divisors (11720116320).

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

4448848800 is a wasteful number, since it uses less digits than its factorization.

4448848800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The square root of 4448848800 is about 66699.6911537078. The cubic root of 4448848800 is about 1644.6843073266.

The spelling of 4448848800 in words is "four billion, four hundred forty-eight million, eight hundred forty-eight thousand, eight hundred".