What does MCDIV mean?

MCDIV is the Roman numeral for 1,404 — 1000 + 400 + 4.

How do you write 1404 in Roman numerals?

Take the largest value that fits and repeat until nothing is left: M (1000), then CD (400), then IV (4). That gives MCDIV.

1,404 in Roman numerals

MCDIV

Number (1–3,999 for numerals)

Roman numeral

1,404 is written MCDIV in Roman numerals. That is 3 symbol groups added together, reading left to right from the largest value down.

How it breaks down

MCDIV = 1000 + 400 + 4 = 1,404
Group	Value	Subtraction	Running total
M	1,000	—	1,000
CD	400	D − C	1,400
IV	4	V − I	1,404

Why the smaller symbol comes first

MCDIV uses subtractive notation in 2 places: CD means D minus C, or 400; IV means V minus I, or 4. A smaller symbol placed before a larger one is subtracted from it rather than added, which is why IX is nine and not eleven.

Only six such pairs are valid — IV, IX, XL, XC, CD and CM. That restriction is what makes the notation unambiguous: IIII and IC both look like they should work, but neither is standard, and only one spelling of any number is correct.

The symbols

Symbol	Value	Used here
I	1	yes — 1×
V	5	yes — 1×
X	10	no
L	50	no
C	100	yes — 1×
D	500	yes — 1×
M	1,000	yes — 1×

The same number, other ways

In words: One thousand four hundred four
Roman numeral: MCDIV
Symbol count: 5 characters
Binary: 10101111100
Hexadecimal: 57C

The numbers either side

Number	Roman numeral
1,402	MCDII
1,403	MCDIII
1,404	MCDIV ←
1,405	MCDV
1,406	MCDVI

Common questions

What is 1404 in Roman numerals?: 1,404 is MCDIV.
What does MCDIV mean?: MCDIV is the Roman numeral for 1,404 — 1000 + 400 + 4.
How do you write 1404 in Roman numerals?: Take the largest value that fits and repeat until nothing is left: M (1000), then CD (400), then IV (4). That gives MCDIV.

Sources

Calculated on this page — At One Place

How these figures are compiled and checked