4448000 has 72 divisors (see below), whose sum is σ = 11160240. Its totient is φ = 1766400.

The previous prime is 4447997. The next prime is 4448009. The reversal of 4448000 is 8444.

It is a hoax number, since the sum of its digits (20) 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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4448009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31931 + ... + 32069.

Almost surely, 2^4448000 is an apocalyptic number.

4448000 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 4448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580120).

4448000 is an abundant number, since it is smaller than the sum of its proper divisors (6712240).

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

4448000 is an equidigital number, since it uses as much as digits as its factorization.

4448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4448000 is about 2109.0282122343. The cubic root of 4448000 is about 164.4579703724.

The spelling of 4448000 in words is "four million, four hundred forty-eight thousand".