4480448000 has 320 divisors, whose sum is σ = 13037701248. Its totient is φ = 1504051200.

The previous prime is 4480447997. The next prime is 4480448033. The reversal of 4480448000 is 8440844.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 32703932 + ... + 32704068.

Almost surely, 2^4480448000 is an apocalyptic number.

4480448000 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 4480448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6518850624).

4480448000 is an abundant number, since it is smaller than the sum of its proper divisors (8557253248).

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

4480448000 is an equidigital number, since it uses as much as digits as its factorization.

4480448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 4480448000 is about 66936.1486791704. The cubic root of 4480448000 is about 1648.5690685625.

Adding to 4480448000 its reverse (8440844), we get a palindrome (4488888844).

It can be divided in two parts, 4480 and 448000, that multiplied together give a square (2007040000 = 44800²).

The spelling of 4480448000 in words is "four billion, four hundred eighty million, four hundred forty-eight thousand".