4980 has 24 divisors (see below), whose sum is σ = 14112. Its totient is φ = 1312.

The previous prime is 4973. The next prime is 4987. The reversal of 4980 is 894.

It is an interprime number because it is at equal distance from previous prime (4973) and next prime (4987).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4980.

It is not an unprimeable number, because it can be changed into a prime (4987) by changing a digit.

4980 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19 + ... + 101.

It is an arithmetic number, because the mean of its divisors is an integer number (588).

2⁴⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7056).

4980 is an abundant number, since it is smaller than the sum of its proper divisors (9132).

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

4980 is a wasteful number, since it uses less digits than its factorization.

4980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 4980 is about 70.5691150575. The cubic root of 4980 is about 17.0769293202.

The spelling of 4980 in words is "four thousand, nine hundred eighty".