48980 has 24 divisors (see below), whose sum is σ = 107520. Its totient is φ = 18720.

The previous prime is 48973. The next prime is 48989. The reversal of 48980 is 8984.

48980 = T₄₀ + T₄₁ + ... + T₇₀.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 11.

It is a zygodrome in base 11.

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 48980.

It is not an unprimeable number, because it can be changed into a prime (48989) by changing a digit.

48980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 581 + ... + 659.

It is an arithmetic number, because the mean of its divisors is an integer number (4480).

2⁴⁸⁹⁸⁰ 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 48980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53760).

48980 is an abundant number, since it is smaller than the sum of its proper divisors (58540).

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

48980 is a wasteful number, since it uses less digits than its factorization.

48980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 48980 is about 221.3142562060. The cubic root of 48980 is about 36.5880777755.

The spelling of 48980 in words is "forty-eight thousand, nine hundred eighty".