208448 has 14 divisors (see below), whose sum is σ = 413766. Its totient is φ = 104192.

The previous prime is 208441. The next prime is 208457. The reversal of 208448 is 844802.

It can be written as a sum of positive squares in only one way, i.e., 200704 + 7744 = 448^2 + 88^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 208448.

It is not an unprimeable number, because it can be changed into a prime (208441) 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 as a sum of consecutive naturals, namely, 1565 + ... + 1692.

2²⁰⁸⁴⁴⁸ is an apocalyptic number.

It is an amenable number.

208448 is a deficient number, since it is larger than the sum of its proper divisors (205318).

208448 is an equidigital number, since it uses as much as digits as its factorization.

208448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3269 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 208448 is about 456.5610583482. The cubic root of 208448 is about 59.2924292693.

It can be divided in two parts, 208 and 448, that added together give a palindrome (656).

The spelling of 208448 in words is "two hundred eight thousand, four hundred forty-eight".