self Maths Puzzle

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.

Read Solution (Total 3)

self Other Question

A bridge will collapse in 17 minutes.

4 people want to cross it before it will collapse. It is a dark night and there is only one torch between them.

Only two people can cross at a time.

"A" takes a minute to cross.
"B" takes 2 minutes.
"C" takes 5
and "D" takes 10 minutes

How do they all cross before the bridge collapses?
6+3+2 = 242116
8+9+1 = 727216
5+7+4 = 505644
2+7+5 = Who am I?