only time i ever got light bleach was when i used 1000w HPS in a 3x3x6 area, so i dont think you need to worry about getting too strong light intensity.
However like other have said it will be hard for you to use 400 w in such a small space (especially since its so low..) without a cooled hood or cooltube.
You really should invist in this, as should all people who grow with Hid lights in smaller spaces. why? because the lightloss you get from i.e a cooltube is nothing compared to how much closer to the tops you can get and how much easier the grow area will be to control.
a good rule of thumb is 50w hps/sq. ft.. I myself like aiming for 30-50 watts per square foot for veg. 50-75 watt per square foot for flower. I got the best results doing this.
Make sure you take into account the distance from light to tops when you calculate this since light intensity dimishes fast the further away the light is placed from the tops. here you can see how light intesity decreases depending on distance from tops
HPS Chart
View attachment 2994579
MH Chart
View attachment 2994580
Remember, bulbs from different producers have slightly different outputs so remember to check on the model you have when making calculations.
Be
VERY carful with high temps because they will cost you a lot of yield and make your buds a lot more airy than they should be. Many make this misstake, actually i would say its the no.1 reason for dimished yields.
Honestly you should think about making your growarea a bit taller if possible. around 160-180 cm. This would increase your ability to control the temperature inside your growing room.
best regards!