This is Josephus' account.
[38] For this Chronology , the following table shows [the rulers and their reigns] from the building of the temple in the fourth year of Solomon to its destruction by the Babylonians 432 years later. Here are the figures:
1. Solomon, 37 years, including the additional three years
2. Rehoboam, 16 years
3. Abijam, 3 years
4. Asa, 41 years
5. Jehoshaphat, 25 years
6. Jehoram, 8 years
7. Ahaziah, 1 year
8. Athaliah, his mother, 7 years
9. Jehoash, 40 years [g182]
10. Amaziah, 28 years
11. Uzziah, 52 years. In his reign the Greeks established the first Olympic games [776 B.C.].
12. Jotham, 16 years
13. Ahaz, 16 years
14. Hezekiah, 29 years
15. Manasseh, 55 years
16. Amon, 2 years
17. Josiah, 31 years
18. Jehoahaz, 3 months
19. Jehoiakim, 11 years
20. Jehoiachin, his son, also called Jekhoniah, 3 months
21. Mattaniah, also called Zedekiah, 11 years
This makes a total of 432 years.
After this, during [the next] 70 years, the Babylonian captivity of the Jews occurred and the destruction of the [temple's] site. According to the Bible, this ended in the second year of King Darius of Persia, which was during the 65th Olympiad [B.C. 520-517].