SELECT 
  cscart_products.* 
FROM 
  cscart_products 
WHERE 
  cscart_products.product_id IN (
    456571, 446699, 413014, 450688, 450261, 
    416995, 446789, 426059, 409013, 414886, 
    444321, 406390
  )

Query time 0.00036

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost": 0.0216566,
    "nested_loop": [
      {
        "table": {
          "table_name": "cscart_products",
          "access_type": "range",
          "possible_keys": ["PRIMARY"],
          "key": "PRIMARY",
          "key_length": "3",
          "used_key_parts": ["product_id"],
          "loops": 1,
          "rows": 12,
          "cost": 0.0216566,
          "filtered": 100,
          "attached_condition": "cscart_products.product_id in (456571,446699,413014,450688,450261,416995,446789,426059,409013,414886,444321,406390)"
        }
      }
    ]
  }
}