24980 has 12 divisors (see below), whose sum is σ = 52500. Its totient is φ = 9984.

The previous prime is 24979. The next prime is 24989. The reversal of 24980 is 8942.

It can be written as a sum of positive squares in 2 ways, for example, as 9604 + 15376 = 98^2 + 124^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24989) 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, 605 + ... + 644.

It is an arithmetic number, because the mean of its divisors is an integer number (4375).

2²⁴⁹⁸⁰ is an apocalyptic number.

24980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24980 is an abundant number, since it is smaller than the sum of its proper divisors (27520).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26250).

24980 is a wasteful number, since it uses less digits than its factorization.

24980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 24980 is about 158.0506248010. The cubic root of 24980 is about 29.2323779213.

The spelling of 24980 in words is "twenty-four thousand, nine hundred eighty".