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odd + odd = even
even + even = even
odd + even = odd
we need an odd number of odd digits

only 1 odd, 3 odd, 5 odd are allowed

The answer is approximately A.

\[44.21875 \times 10^5\]that's more like what I get.

Maybe I've not counted something, because the answer is exactly A.

is this true there are 9 * 10^6 seven digit numbers
and half of them have sum of digits odd

@parthkohli
If we count 7 odd numbers which gives 5^7=78125.
4421875+78125=4500000, bingo!

that's the stupidest mistake i could have made

Then we need to accept 7 digit numbers with leading zeroes!