Anthropic,
Please bear in mind that long water pipe runs should be increased in diameter over the usual short runs found in the city, due to friction losses. The usual for a short run of 150 feet or less in town is 3/4 inch. In your case with a 450 foot run I suggest going with 1.25" pipe. If you go 3/4 inch you will have the same water pressure, but will start to lose volume after a few seconds with a wide open faucet.