4448800 has 72 divisors (see below), whose sum is σ = 11155536. Its totient is φ = 1731840.

The previous prime is 4448797. The next prime is 4448813. The reversal of 4448800 is 88444.

It is a happy number.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53559 + ... + 53641.

It is an arithmetic number, because the mean of its divisors is an integer number (154938).

Almost surely, 2^4448800 is an apocalyptic number.

4448800 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 4448800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5577768).

4448800 is an abundant number, since it is smaller than the sum of its proper divisors (6706736).

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

4448800 is a wasteful number, since it uses less digits than its factorization.

4448800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 4448800 is about 2109.2178645176. The cubic root of 4448800 is about 164.4678293719.

The spelling of 4448800 in words is "four million, four hundred forty-eight thousand, eight hundred".