The country split into 443 named islands that also holds Greenland is Denmark.
Denmark proper consists of the Jutland Peninsula and a large archipelago in northern Europe. Depending on the definition and survey used, the country is described as having more than 1,400 islands, with 443 commonly listed as named islands. Only a fraction are inhabited; Zealand, Funen, and the North Jutlandic Island are among the largest.
The clue also points to the Kingdom of Denmark, the sovereign realm that includes Denmark proper, Greenland, and the Faroe Islands. Greenland is not part of metropolitan Denmark and has extensive self-government, but it remains an autonomous territory within the Danish Kingdom. The Faroe Islands likewise govern many of their own domestic affairs.
A common confusion is treating Greenland as an ordinary Danish province. It is geographically in North America and politically self-governing, while Denmark handles areas such as foreign affairs and defense. Greenland is the world’s largest island that is not considered a continent.