Triple pandigital

Consider a 10-digit pandigital number $n$ in base 10. If we take first and last half of $n$, two 5-digit numbers $x$ and $y$ are got. Specially, square of $x$ and square of $y$ are also both 10-digit pandigital.

Find all pandigital numbers $n$ satisfying above properties. Note: leading zero is not allowed in any numbers.

Answer format: [count],[sum]
(Sample input: 1,1023456789)