Here is a post I wrote explaining watts & lumens etc.
Lumens & candles are special measurements that have to do with the way the human eye sees light. They are almost useless for assessing the value of a lamp for growing.
You are in good shape with your 400W lamp and your 4'x2' footprint. 3'x3' would be ideal but what you have is good! You should be able to get 6-8 oz easily from that setup and a lot more with some practice.
Calculating the actual light impinging on the canopy is not a trivial calculation. Only about 1/3rd of the light goes directly from the bulb to the canopy. How much of the other 2/3rds is captured by the reflector and how much is actually reflected back to the plants depends a lot on the details of your particular equipment. So it's not clear it would be worth doing the calculation at all.
As someone who has 22 years experience in measuring light intensity, I can tell you that many people here dont really understand about watts/lumens , the inverse sq law etc. It doesn't matter. They are here to grow. There are a number of rules of thumb that work well enough and that's what we use.
One thing that everybody does seem to understand is how the inverse sq law affects light intensity, and that's very important. Doubling the distance from the canopy to the bulb will reduce the intensity
by a factor of 4! This means that a small increase in distance from the light can cause a significant attentuation of the light on that region. It also means that there will be a significant difference between the light impinging on the top of the plant and the bottom. This is why canopy management can make a very big difference in a closet grow. This is why people grow SCROGS
Again, the inv sq Law only applies to point sources. An HID lamp is not a point source but the effect is similar enough that we can use the inv sq law to understand how distance affects light intensity.
So, in sum. Your lamp is well matched to your grow space.