448993 has 2 divisors, whose sum is σ = 448994. Its totient is φ = 448992.

The previous prime is 448969. The next prime is 448997. The reversal of 448993 is 399844.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 351649 + 97344 = 593^2 + 312^2 .

It is a cyclic number.

It is not a de Polignac number, because 448993 - 2¹⁷ = 317921 is a prime.

It is not a weakly prime, because it can be changed into another prime (448997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 224496 + 224497.

It is an arithmetic number, because the mean of its divisors is an integer number (224497).

2⁴⁴⁸⁹⁹³ is an apocalyptic number.

It is an amenable number.

448993 is a deficient number, since it is larger than the sum of its proper divisors (1).

448993 is an equidigital number, since it uses as much as digits as its factorization.

448993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31104, while the sum is 37.

The square root of 448993 is about 670.0693993908. The cubic root of 448993 is about 76.5737395411.

It can be divided in two parts, 448 and 993, that added together give a palindrome (1441).

The spelling of 448993 in words is "four hundred forty-eight thousand, nine hundred ninety-three".