4488480 has 96 divisors (see below), whose sum is σ = 15724800. Its totient is φ = 1195776.

The previous prime is 4488479. The next prime is 4488487. The reversal of 4488480 is 848844.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4488487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3801 + ... + 4839.

It is an arithmetic number, because the mean of its divisors is an integer number (163800).

Almost surely, 2^4488480 is an apocalyptic number.

4488480 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 4488480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7862400).

4488480 is an abundant number, since it is smaller than the sum of its proper divisors (11236320).

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

4488480 is a wasteful number, since it uses less digits than its factorization.

4488480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 4488480 is about 2118.6033135063. The cubic root of 4488480 is about 164.9553598247.

The spelling of 4488480 in words is "four million, four hundred eighty-eight thousand, four hundred eighty".