SELECT 
  seo_names.object_id AS product_id, 
  seo_names.name AS seo_name, 
  seo_names.path AS seo_path 
FROM 
  seo_names 
WHERE 
  seo_names.object_id IN (
    402947, 403663, 403665, 403681, 403706, 
    403707, 404249, 404977, 404981, 404989, 
    405012, 405013
  ) 
  AND seo_names.type = "p" 
  AND seo_names.dispatch = "" 
  AND seo_names.lang_code = 'en'

Query time 0.00088

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "12.56"
    },
    "table": {
      "table_name": "seo_names",
      "access_type": "range",
      "possible_keys": [
        "PRIMARY",
        "dispatch"
      ],
      "key": "PRIMARY",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code"
      ],
      "key_length": "206",
      "rows_examined_per_scan": 12,
      "rows_produced_per_join": 12,
      "filtered": "100.00",
      "cost_info": {
        "read_cost": "11.36",
        "eval_cost": "1.20",
        "prefix_cost": "12.56",
        "data_read_per_join": "20K"
      },
      "used_columns": [
        "name",
        "object_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ],
      "attached_condition": "((`goimagine`.`seo_names`.`object_id` in (402947,403663,403665,403681,403706,403707,404249,404977,404981,404989,405012,405013)) and (`goimagine`.`seo_names`.`type` = 'p') and (`goimagine`.`seo_names`.`dispatch` = '') and (`goimagine`.`seo_names`.`lang_code` = 'en'))"
    }
  }
}