Charles Ellicott Commentary Psalms 48:10

"As is thy name, O God, So is thy praise unto the ends of the earth: Thy right hand is full of righteousness." — Psalms 48:10 (ASV)

According to your name ... —“Name” here plainly has the meaning we give it in the phrase, “name and fame.” God’s praise was up to the reputation His great deeds had won .

Your right hand is full of righteousness. —Not like Jove’s, as pagans say, full of thunderbolts, but of justice.