A BEECH 1900 ENG FAILED DURING CLBOUT. THE CREW DECLARED AN EMER AND DIVERTED TO A NEARBY ARPT.

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ON MAR/WED/05 I WAS ASSIGNED AS PIC OF A BEECH 1900D ACFT. THE ACFT WAS OPERATING AS ACR FLT XXXX FROM ZZZ1 TO ZZZ2. ON CLBOUT FROM ZZZ1; THE #1 PROP RPM'S BEGAN TO DECREASE WITHOUT ANY PROP LEVER INPUT FROM THE CREW MEMBERS. THE #1 ENG HAD A CONTINUOUS OUT-OF-SYNC PROP BEAT; AND THE CREW OBSERVED THAT THE ACFT WAS NOTICEABLY YAWING; OIL PRESSURE IN THE #1 ENG DROPPED; AND THE PROP BEGAN TO WINDMILL WITHOUT ANY FORWARD THRUST. THE CREW INITIALLY ATTEMPTED TO CONTACT ZZZ1 STATION OPS; BUT RECEIVED NO RESPONSE WHATSOEVER. THE CREW THEN ATTEMPTED TO USE SELCAL; AGAIN WITH NO RESPONSE. THE CREW ALSO ATTEMPTED TO CONTACT ZZZ3 STATION OPS; ALSO WITHOUT RESPONSE. THE ONLY APCH PLATES WHICH THE CREW HAD FOR POTENTIAL ARPTS IN THE VICINITY WERE FOR ZZZ1; ZZZ3; AND ZZZ4. AT THIS POINT; THE ACFT WAS ABOUT 40-50 MI FROM ZZZ1 AND 70-75 MI FROM ZZZ4. AFTER DISCUSSION; THE CREW ELECTED TO PROCEED TO ZZZ4. ZZZ4 HAD A CTL TWR; AND LONGER RWYS THAN ZZZ1; WHICH MIGHT BE NEEDED SINCE WE WOULD HAVE ONLY 1 ENG. AFTER DIVERTING TO ZZZ4; THE CTR WAS NOTIFIED AND WE WERE ADVISED THAT ZZZ4 WOULD HAVE EMER VEHICLE EQUIP STANDING BY. ALL REQUIRED CHKLISTS WERE PERFORMED; AND PAX WERE PROPERLY BRIEFED AS PER ACR AND FAA PROCS. THE APCH AND SUBSEQUENT LNDG WERE UNEVENTFUL. THE ACFT WAS BROUGHT TO A SAFE STOP AND WAS SHUT DOWN AT THE INTXN OF TXWY V AND RWY 4R; AS DIRECTED BY ZZZ4 TWR. THERE WERE NO PAX INJURIES; AND NO ACFT DAMAGE. EMER PERSONNEL ASSISTED THE CREW IN DEPLANING PAX. ALL REQUIRED AFTER LNDG AND SHUTDOWN CHKLISTS WERE PROPERLY PERFORMED BY THE CREW.