Plumeria Island is an island in the Indian Ocean. The island is 4,000 square kilometers in size. Currently, 500,000 people live there. Last year, 150,000 children were born and 50,000 people immigrated. 100,000 people died and 10,000 emigrated. It is believed that the island could support up to 350 people per square kilometer. The total carrying capacity of the island is ___.