48000 has 64 divisors (see below), whose sum is σ = 159120. Its totient is φ = 12800.

The previous prime is 47981. The next prime is 48017. The reversal of 48000 is 84.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

48000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9598 + ... + 9602.

2⁴⁸⁰⁰⁰ is an apocalyptic number.

48000 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 48000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79560).

48000 is an abundant number, since it is smaller than the sum of its proper divisors (111120).

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

48000 is an equidigital number, since it uses as much as digits as its factorization.

48000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 48000 is about 219.0890230021. The cubic root of 48000 is about 36.3424118566.

Adding to 48000 its reverse (84), we get a palindrome (48084).

The spelling of 48000 in words is "forty-eight thousand".