All these numbers are quite confusing and irrelevant.
Materials fail when the max value of sigma, in MPa, is exceeded. It is called their strenght limit.
For a cylinder with an external diameter of 2.0m and a thickness of 0.1m Sigma is 10 times the external pressure (400 bar=40 MPa).
So sigma is 400 MPa.
The compression strenght limit of carbon-fiber reinforced resin is around 2000 MPa (4000 in traction): so there should a reasonable safety factor, around 5.
The designed safety factor was 2.25 from 455bar (so 2.56 at 400bar) and then they threw in an extra 12mm of plies. I'm not sure where the difference between your and their calculation lies. Maybe the exact materials used or the post-layup processing results in a lower compression strength number?
"The biggest challenge, Spencer reports, was developing a manufacturable design that “would produce a consistent part with no wrinkles, voids or delaminations.” And without use of an autoclave. Spencer opted for a layup strategy that combines alternating placement of prepreg carbon fiber/epoxy unidirectional fabrics in the axial direction, with wet winding of carbon fiber/epoxy in the hoop direction, for a total of 480 plies. The carbon fiber is standard-modulus Grafil 37-800 (30K tow), supplied by Mitsubishi Chemical Carbon Fiber & Composites Inc. (Irvine, CA, US). Prepreg was supplied by Irvine-based Newport Composites, now part of Mitsubishi Chemical Carbon Fiber & Composites Inc. The wet-winding epoxy is Epon Resin 682 from Hexion Inc. (Columbus, OH, US). The curing agent is Lindride LS-81K frLindau Chemicals Inc.cals (Columbia, SC, US).
Initial design work indicated that the hull, to be rated for 4,000m depth with a 2.25 safety factor, should be 114 mm thick or 4.5 inches, which OceanGate opted to round up to 5 inches (127 mm) to build in an additional safety margin.
After layup and winding was complete, the cylinder was bagged with cellowrap and then cured in an oven at 137°C for 7 days. There was no postcure. Spencer says initial assessment of the cured cylinder shows that it has porosity of <1%. As CW went to press, the cylinder was being prepared for machining to cut it to length, square up the ends and bond it to the titanium end caps."
From
Composite World - Composite submersibles: Under pressure in deep, deep waters . Note that this source refers to the sub at Cyclops 2. It was later renamed as Titan.