4480 has 32 divisors (see below), whose sum is σ = 12240. Its totient is φ = 1536.

The previous prime is 4463. The next prime is 4481. The reversal of 4480 is 844.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4481) by changing a digit.

4480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 637 + ... + 643.

4480 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 4480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6120).

4480 is an abundant number, since it is smaller than the sum of its proper divisors (7760).

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

4480 is an equidigital number, since it uses as much as digits as its factorization.

4480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4480 is about 66.9328021227. The cubic root of 4480 is about 16.4851411992.

It can be divided in two parts, 4 and 480, that added together give a palindrome (484).

The spelling of 4480 in words is "four thousand, four hundred eighty".