48920 has 16 divisors (see below), whose sum is σ = 110160. Its totient is φ = 19552.

The previous prime is 48907. The next prime is 48947. The reversal of 48920 is 2984.

48920 is nontrivially palindromic in base 11.

It is a nialpdrome in base 15.

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 48920.

It is an unprimeable number.

48920 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 3 ways as a sum of consecutive naturals, for example, 572 + ... + 651.

It is an arithmetic number, because the mean of its divisors is an integer number (6885).

2⁴⁸⁹²⁰ is an apocalyptic number.

48920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48920 is an abundant number, since it is smaller than the sum of its proper divisors (61240).

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 (55080).

48920 is a wasteful number, since it uses less digits than its factorization.

48920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1230 counting only the distinct ones).

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

The square root of 48920 is about 221.1786608152. The cubic root of 48920 is about 36.5731316636.

The spelling of 48920 in words is "forty-eight thousand, nine hundred twenty".