222. When did Solomon's reign begin?

476 years after the Israelites left Egypt

Solomon began to build the temple in the fourth year of his reign, 480 years after the Israelites left Egypt. So Solomon became king 476 years after the Israelites left Egypt.
And it came to pass in the four hundred and eightieth year after the children of Israel were come out of the land of Egypt, in the fourth year of Solomon's reign over Israel, in the month Zif, which is the second month, that he began to build the house of the LORD. 1 Kings 6:1

570 years after the Israelites left Egypt

After the Israelites left Egypt, they wandered in the wilderness for 40 years. When they arrived in Israel, they were ruled by judges for 450 years. Then Saul was made king and he ruled for 40 years. The next king was David who ruled for the usual 40 years. After David died, Solomon became king, 570 (40+450+40+40) years after the Israelites left Egypt.
The God of this people of Israel chose our fathers, and exalted the people when they dwelt as strangers in the land of Egypt, and with an high arm brought he them out of it. And about the time of forty years suffered he their manners in the wilderness. And when he had destroyed seven nations in the land of Chanaan, he divided their land to them by lot. And after that he gave unto them judges about the space of four hundred and fifty years, until Samuel the prophet. And afterward they desired a king: and God gave unto them Saul the son of Cis, a man of the tribe of Benjamin, by the space of forty years. And when he had removed him, he raised up unto them David to be their king Acts 13:17-22

Thus David the son of Jesse reigned over all Israel. And the time that he reigned over Israel was forty years; seven years reigned he in Hebron, and thirty and three years reigned he in Jerusalem. 1 Chronicles 29:26-27