48984 has 32 divisors (see below), whose sum is σ = 132720. Its totient is φ = 14976.

The previous prime is 48973. The next prime is 48989.

48984 is nontrivially palindromic in base 10.

It is a plaindrome in base 14.

It is a congruent number.

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

48984 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, 234 + ... + 390.

2⁴⁸⁹⁸⁴ 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 48984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66360).

48984 is an abundant number, since it is smaller than the sum of its proper divisors (83736).

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

48984 is a wasteful number, since it uses less digits than its factorization.

48984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 175 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 48984 is about 221.3232929450. The cubic root of 48984 is about 36.5890737489.

The spelling of 48984 in words is "forty-eight thousand, nine hundred eighty-four".