We present the properties of a large sample ( 12,282 ) of nearly face-on low surface brightness ( LSB ) disk galaxies selected from the main galaxy sample of SDSS-DR4 .
These properties include B -band central surface brightness \mu _ { 0 } ( B ) , scale lengths h , integrated magnitudes , colors , and distances D .
This sample has \mu _ { 0 } ( B ) values from 22 to 24.5 mag arcsec ^ { -2 } with a median value of 22.42 mag arcsec ^ { -2 } , and disk scale lengths ranging from 2 to 19 kpc .
They are quite bright with M _ { B } taking values from -18 to -23 mag with a median value of -20.08 mag .
There exist clear correlations between log h and M _ { B } , log h and log D , log D and M _ { B } .
However , no obvious correlations are found between \mu _ { 0 } ( B ) and log h , colors etc .
The correlation between colors and log h is weak even though it exists .
Both the optical-optical and optical-NIR color-color diagrams indicate that most of them have a mixture of young and old stellar populations .
They also satisfy color-magnitude relations , which indicate that brighter galaxies tend generally to be redder .
The comparison between the LSBGs and a control sample of nearly face-on disk galaxies with higher surface brightness ( HSB ) with \mu _ { 0 } ( B ) from 18.5 to 22 mag arcsec ^ { -2 } show that , at a given luminosity or distance , the observed LSB galaxies tend to have larger scale lengths .
These trends could be seen gradually by dividing both the LSBGs and HSBGs into two sub-groups according to surface brightness .
A volume-limited sub-sample was extracted to check the incompleteness of surface brightness .
The only one of the property relations having an obvious change is the relation of log h versus \mu _ { 0 } ( B ) , which shows a correlation in this sub-sample .