The current Celeron 333-533 processors are manufactured using the Plastic Pin Grid Array (PPGA) package, a format that has literally outlived its usefulness. The PPGA package actually has the CPU core facing downward towards the socket and uses a heat slug to transfer the core heat upward to the heatsink cooler. Using just a basic grasp of thermodynamics, it's easy to see that this design is not the most conducive to heat dissipation. Looking at the Celeron thermal specifications you can see this borne out in the numbers. The Celeron 266-433 processors are rated at an operating of 85 degrees Celsius, while the higher speed Celeron 466-533's have this lowered quite drastically to 70 degrees Celsius.
The new Celeron 566 and 600 processors have graduated to the same Flip Chip-Pin Grid Array (FC-PGA) package made popular by the Pentium III Coppermine. This changes the processor core orientation to a more logical position, facing upward towards the CPU cooler. It also enables much greater heat dissipation than the PPGA package, by allowing direct contact with the processor core and eliminating the need for a secondary heat slug to transfer heat buildup away from the motherboard socket. With the .18 micron die and the FC-PGA design, Intel has been able to increase speeds to 600 MHz, while also increasing the maximum thermal spec to 90 degrees Celsius.
Locating retail prices on the Celeron 600 has been quite difficult, as many retailers aren't even taking pre-orders. From the Intel website, I found that the Intel Celeron processors (in lots of 1,000) are priced at $181 for the Celeron 600 and $167 for the Celeron 566. The only sites that are offering the Celeron 600 have prices of approximately $210, but due to the low number of vendors, these prices can't be considered totally competitive. Alternatively, I have been able to find several online prices for the Celeron 566 and these range from approximately $150-$160 for the OEM model and $180-$185 for the retail CPU.