20448 has 36 divisors (see below), whose sum is σ = 58968. Its totient is φ = 6720.

The previous prime is 20443. The next prime is 20477. The reversal of 20448 is 84402.

It is a happy number.

It is a Cunningham number, because it is equal to 143²-1.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 20448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20441) by changing a digit.

20448 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 5 ways as a sum of consecutive naturals, for example, 253 + ... + 323.

It is an arithmetic number, because the mean of its divisors is an integer number (1638).

2²⁰⁴⁴⁸ 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 20448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29484).

20448 is an abundant number, since it is smaller than the sum of its proper divisors (38520).

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

20448 is a wasteful number, since it uses less digits than its factorization.

20448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 20448 is about 142.9965034538. The cubic root of 20448 is about 27.3453579191.

It can be divided in two parts, 204 and 48, that added together give a palindrome (252).

The spelling of 20448 in words is "twenty thousand, four hundred forty-eight".