1448 has 8 divisors (see below), whose sum is σ = 2730. Its totient is φ = 720.

The previous prime is 1447. The next prime is 1451. The reversal of 1448 is 8441.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1444 + 4 = 38^2 + 2^2 .

It is a tau number, because it is divible by the number of its divisors (8).

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

It is a plaindrome in base 10 and base 15.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (1447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83 + ... + 98.

It is an amenable number.

1448 is a deficient number, since it is larger than the sum of its proper divisors (1282).

1448 is a wasteful number, since it uses less digits than its factorization.

1448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 183 counting only the distinct ones).

The product of its digits is 128, while the sum is 17.

The square root of 1448 is about 38.0525951809. The cubic root of 1448 is about 11.3133056516.

Subtracting from 1448 its sum of digits (17), we obtain a triangular number (1431 = T₅₃).

Adding to 1448 its reverse (8441), we get a palindrome (9889).

The spelling of 1448 in words is "one thousand, four hundred forty-eight".