248448 has 32 divisors (see below), whose sum is σ = 660960. Its totient is φ = 82688.

The previous prime is 248447. The next prime is 248461. The reversal of 248448 is 844842.

It is a tau number, because it is divible by the number of its divisors (32).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248441) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 61 + ... + 707.

It is an arithmetic number, because the mean of its divisors is an integer number (20655).

2²⁴⁸⁴⁴⁸ 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 248448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330480).

248448 is an abundant number, since it is smaller than the sum of its proper divisors (412512).

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

248448 is an equidigital number, since it uses as much as digits as its factorization.

248448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 652 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The square root of 248448 is about 498.4455837902. The cubic root of 248448 is about 62.8654219713.

It can be divided in two parts, 248 and 448, that added together give a palindrome (696).

The spelling of 248448 in words is "two hundred forty-eight thousand, four hundred forty-eight".