I have a hug table with 170,000 records.
What is difference between this query
Showing rows 0 - 299 (1,422 total, Query took 1.9008 sec)
SELECT 1 FROM `p_apartmentbuy` p
where
p.price between 500000000 and 900000000
and p.yard = 1
and p.dateadd between 1290000000 and 1320000000
ORDER BY `p`.`id` desc
limit 1669
Explain

And this one:
Showing rows 0 - 299 (1,422 total, Query took 0.2625 sec)
SELECT 1 FROM `p_apartmentbuy` p
where
p.price between 500000000 and 900000000
and p.yard = 1
and p.dateadd between 1290000000 and 1320000000
ORDER BY `p`.`id` desc
limit 1670
Explain:

Both of these queries are using 1 table with same data and have same where clasue, but only limit row count are different
MySQL has a buffer for sorting. When the stuff to be sorted is too big, it sorts chunks, then mergesorts them. This is called “filesort”. Your 1670-th row apparently just overflows the sort buffer.
Read more details here.
Now why it picks another key for the in-memory sort… I am not too sure; but apparently its strategy is not quite good since it ends up being slower.