A credit score of 620 to 700 will be needed to buy a $250,000.00 house and it also depends on the bank or mortgage lender and they will also require you have enough income to make the monthly mortgage payments and you'll also need a down payment on the $250,000.00 house.
The down payment on a $250,000.00 house for a 3 percent down payment would be $7,500.00 and a 20 percent down payment on a $250,000.00 house would be $50,000.00.
If you want to avoid private mortgage insurance or PMI you would need to put a $50,000.00 payment down on the $250,000.00 house.