48448 has 14 divisors (see below), whose sum is σ = 96266. Its totient is φ = 24192.

The previous prime is 48437. The next prime is 48449. The reversal of 48448 is 84484.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 43264 + 5184 = 208^2 + 72^2 .

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48449) by changing a digit.

48448 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 as a sum of consecutive naturals, namely, 315 + ... + 442.

2⁴⁸⁴⁴⁸ is an apocalyptic number.

It is an amenable number.

48448 is a deficient number, since it is larger than the sum of its proper divisors (47818).

48448 is an equidigital number, since it uses as much as digits as its factorization.

48448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 759 counting only the distinct ones).

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

The square root of 48448 is about 220.1090638752. The cubic root of 48448 is about 36.4551271920.

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

The spelling of 48448 in words is "forty-eight thousand, four hundred forty-eight".