Which statements are true?

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 500000.

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pnikam Expert Asked on 24th August 2015 in Math Puzzles.
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    Only Statements 1 and 3 are true. the number is 499849.

    7072 = 499849
    499849<500000

    anikam Expert Answered on 24th August 2015.
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