Matching Subs with amp

Hey i just got a 12 inch Audiobahn Aw1208T Subwoofer the only amp I have is a Kenwood KAC mono amp. The audiobahn sub is rated at 1500 watts rms , and the amp peaks at 1000 watts, will I be underpowering the sub or is it over rated ? I know I probably sound stupid but Im pretty new with this stuff. Does the impendence even match? Here are the specs for the sub and the amp. The sub is 1500 rms,  frequency response of 20hz to 500 hz, eefficeincy of 91 dB, 3"Dual 2 ohm voice coil , and operates at 1 or 4 ohms. Im just going to copy and paste the amps specs from a website even though most of this won't matter. My guess is that I need a different kind of amp, if i do what can you recommend , any advice is appreciated.

• MonoBlock Class D Operation
• Cast Aluminum Heat Sink: with Sandblast Finish
• Power Indicator: Blue Logo Triangle
• Maximum Output Power: 1000 Watts
• Power Output at 2 Ohms: at 14.4V (100Hz, 0.5% THD): 400 Watts x 1
• Power Output at 4 Ohms,:at 14.4V (20Hz 200Hz, 0.5% THD): 200 Watts x 1
• Ground Isolation Circuit
• Quiet Turn On
• RCA Audio Inputs: Gold Plated
• RCA Line Outputs: Gold Plated
• Selectable Infrasonic Filter:
• Off/15/25Hz, 18dB per
• Octave
• Speaker Connectors: Gold Plated, Screw Type
• Speaker Level Input
• Terminals: Plug Type
• Variable Low Pass
• Electronic Crossover: 50Hz
• 200Hz, 18dB per Octave
• Bass Boost: Off/+12dB (90Hz)
• 2-Ohm Stable
• Copper Shielded EE Core
• Transformer
• Noise Supression Filter:
• Large Toroidal
• Power Input Terminals:
• Gold Plated, Large Screw Type
• Power MOSFET Switching