imc

We can use complementary counting. There are $2017$ positive integers in total to consider, and there are $9$ one-digit integers, $9\cdot 9=81$ two digit integers without a zero, $9\cdot 9\cdot 9=729$ three digit integers without a zero, and $9\cdot 9\cdot 9=729$ four-digit integers starting with a 1 without a zero. Therefore, the answer is $2017-9-81-729-729=\boxed{469}$.