Heritage Auctions parted with the only CGC 9.2-graded copy in existence, earning the sixth-highest price ever paid for a comic book.
"It's amazing that three years ago, no comic book had ever sold for even half that amount," said Ed Jaster, vice president of Heritage Auctions, which brokered the sale.
"Heritage is holding a $4+ million comics and comic art auction in Dallas May 10 and 11. Many collectors and dealers will be watching to see how Golden Age comics perform there."
Batman #1 features stories by Bill Finger, Bob Kane and Jerry Robinson, and is famous for introducing the Joker and Catwoman to the world. The issues also reprinted the Caped Crusader's origin story from a previous edition of Detective Comics.
Superman's debut in Action Comics #1 holds the auction record for a comic book, selling for $2.1 million (£1.3 million) in 2011.