4880 has 20 divisors (see below), whose sum is σ = 11532. Its totient is φ = 1920.

The previous prime is 4877. The next prime is 4889. The reversal of 4880 is 884.

4880 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 784 + 4096 = 28^2 + 64^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

4880 is an undulating number in base 11.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4880.

It is not an unprimeable number, because it can be changed into a prime (4889) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50 + ... + 110.

2⁴⁸⁸⁰ is an apocalyptic number.

4880 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 4880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5766).

4880 is an abundant number, since it is smaller than the sum of its proper divisors (6652).

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

4880 is a wasteful number, since it uses less digits than its factorization.

4880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 4880 is about 69.8569967863. The cubic root of 4880 is about 16.9618521770.

Adding to 4880 its sum of digits (20), we get a square (4900 = 70²).

Subtracting from 4880 its product of nonzero digits (256), we obtain a square (4624 = 68²).

It can be divided in two parts, 48 and 80, that added together give a 7-th power (128 = 2⁷).

The spelling of 4880 in words is "four thousand, eight hundred eighty".