48408 has 16 divisors (see below), whose sum is σ = 121080. Its totient is φ = 16128.

The previous prime is 48407. The next prime is 48409. The reversal of 48408 is 80484.

48408 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48407) and next prime (48409).

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 2017 = 48408 / (4 + 8 + 4 + 0 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48407) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 985 + ... + 1032.

2⁴⁸⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

48408 is an abundant number, since it is smaller than the sum of its proper divisors (72672).

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 (60540).

48408 is a wasteful number, since it uses less digits than its factorization.

48408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 48408 is about 220.0181810669. The cubic root of 48408 is about 36.4450916447.

Subtracting from 48408 its sum of digits (24), we obtain a palindrome (48384).

The spelling of 48408 in words is "forty-eight thousand, four hundred eight".