The present invention provides an acylamide compound of the following formula (1), prodrugs thereof, or pharmaceutically acceptable salts thereof; and an adiponectin inducer or secretagogue, therapeutic agent of metabolic syndromes, therapeutic agent of hypoadiponectinemia, therapeutic agent of hyperlipemia, preventive/therapeutic agent of diabetes, improving agent of impaired glucose tolerance, improving agent of insulin resistance, enhancing agent of insulin sensitivity, therapeutic agent of hypertension, preventive/therapeutic agent of vascular disorders, an anti-inflammatory agent, therapeutic agent of hepatic inflammation, therapeutic agent of fatty liver, therapeutic agent of hepatic fibrosis, therapeutic agent of liver cirrhosis, preventive/therapeutic agent of non-alcoholic/nonviral steatohepatitis (NASH) or non-alcoholic/nonviral fatty liver disease (NAFLD), or therapeutic agent of obesity, each of which has the above compounds as an active ingredient.