48484 has 24 divisors (see below), whose sum is σ = 96768. Its totient is φ = 21120.

The previous prime is 48481. The next prime is 48487.

It is a happy number.

48484 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (48481) and next prime (48487).

48484 is an undulating number in base 10.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48481) 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, 1549 + ... + 1579.

It is an arithmetic number, because the mean of its divisors is an integer number (4032).

2⁴⁸⁴⁸⁴ is an apocalyptic number.

It is an amenable number.

48484 is a deficient number, since it is larger than the sum of its proper divisors (48284).

48484 is a wasteful number, since it uses less digits than its factorization.

48484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 73 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

The square root of 48484 is about 220.1908263303. The cubic root of 48484 is about 36.4641544628.

It can be divided in two parts, 48 and 484, that multiplied together give a palindrome (23232).

The spelling of 48484 in words is "forty-eight thousand, four hundred eighty-four".