Sum of digits is 43

I am thinking of a 6-digit number. The sum of the digits is 43. And only two of the following three statements about the number are true:

(1) it's a square number,
(2) it's a cube number, and
(3) the number is under 500,000

Solve this puzzle and win a $5 gift certificate prize!!! If you are a bona fide student of COM-FSM Pohnpei Campus, you can email your answer to gmangonon@comfsm.fm, or submit your answer to any of Math/Science Division instructor, or at the Math/Sci Faculty Office. Be ready to defend your answer.

You can also win gift items by solving these puzzles specifically designed for students in different Math course levels. When submitting your answer, make sure you present your registration paper to prove that you are enrolled in any of these Math course levels.

For MS095 students:

Use <, >, or = to make a true statement.

For MS096 students:

Adam and David were both driving east on the same highway. At 4:00 P.M., Adam, traveling at 55 miles per hour, was 20 miles east of David. A little later, David, traveling at 65 miles per hour, passed Adam. At what time did David pass Adam?

For MS099 students:

Solve:

+ = -1

For MS100 students:

Carl's Tractor Service purchases a used brush mower for $390. The machine has a useful life of 5 years after which time another one will have to be purchased. Assume depreciation of the machine is linear. Write a linear equation giving the value V of the used brush mower during the 5 years it will be in use.