48880 has 40 divisors (see below), whose sum is σ = 124992. Its totient is φ = 17664.

The previous prime is 48871. The next prime is 48883. The reversal of 48880 is 8884.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1017 + ... + 1063.

2⁴⁸⁸⁸⁰ is an apocalyptic number.

48880 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 48880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496).

48880 is an abundant number, since it is smaller than the sum of its proper divisors (76112).

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

48880 is a wasteful number, since it uses less digits than its factorization.

48880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 48880 is about 221.0882176870. The cubic root of 48880 is about 36.5631607984.

The spelling of 48880 in words is "forty-eight thousand, eight hundred eighty".