Grossly over generalized here. But this will help
Kelvin = how “blue” does it look visually? Higher numbers = more blue. Lower numbers = more red/yellow. Kelvin ratings are only given to white light or full spectrum light. Solid colors do not have kelvin ratings
Nanometers = wavelength of a color of light. Higher numbers trend toward the red end, lower numbers tend toward the blue end. Lower numbers are shorter wavelengths and contain much more energy.
Lumens/Lux = how bright does it look? Our eyes are most sensitive to green and yellow light. If a light is balanced heavier in those colors, the appearance will be brighter.
Par = quantitative measurement of light between 400-700 nanometers. Actual numerical value of light particles striking a given point over a period of time.
The eye is less sensitive to blue and violet light. You can have two separate lights of equal power and equal PAR. One is higher kelvin, heavy on blue. The other is lower kelvin, heavy on yellow. The yellow light will appear visually brighter, but it is in fact no more powerful and would actually grow photosynthetic life worse than an equal par blue light. Yellow is far less photosynthetically active.
Of course the more power you throw at a full spectrum light, it can still appear yellow but contain a ton of blue in it (like the sun), but the yellow wavelengths dominate your visual perception.
Lumens or lux are largely unimportant for coral growing.