4488800 has 72 divisors (see below), whose sum is σ = 11374272. Its totient is φ = 1728000.

The previous prime is 4488797. The next prime is 4488817. The reversal of 4488800 is 88844.

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

It is a zygodrome in base 10.

It is a congruent number.

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, 24710 + ... + 24890.

It is an arithmetic number, because the mean of its divisors is an integer number (157976).

Almost surely, 2^4488800 is an apocalyptic number.

4488800 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 4488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687136).

4488800 is an abundant number, since it is smaller than the sum of its proper divisors (6885472).

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

4488800 is a wasteful number, since it uses less digits than its factorization.

4488800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 4488800 is about 2118.6788336131. The cubic root of 4488800 is about 164.9592798199.

The spelling of 4488800 in words is "four million, four hundred eighty-eight thousand, eight hundred".