Numberwise

400

400 metres is one lap of a standard outdoor running track, and 400 is a perfect square (20²).

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Where 400 fits

Where 400 fits: Mathematics, Everyday systems, Related numbersMathematics: Perfect square, Powerful number, Harshad (Niven) number. Everyday systems: Standard athletics track lap distance. Related numbers: 20.MathematicsPerfect squarePowerful numberHarshad (Niven) numberEveryday systemsStandard athletics track la…Related numbers20400
400 connects to 3 worlds: mathematics, everyday systems, related numbers.

Why 400 is special

400 is the number that defines the shape of athletics: a standard outdoor track measures 400 m in lane 1, which makes it the reference distance every other track event is built around — 800 m is two laps, 1500 m is nearly four. It is also cleanly 20².

Factors & digit properties

Divisors (15)
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Prime factorisation
2^4 × 5^2
Digit sum
4
Digital root
4

Representations

Decimal
400
Binary
110010000
Octal
620
Hexadecimal
190
Roman numeral
CD
Scientific notation
4.000 × 10^2

Other mathematical patterns

  • Abundant number
  • Powerful number
  • Harshad (Niven) number

Related numbers & connections

Mathematical relationship
400 is the square of 20 (20² = 400).

400 is the square of 20 (20² = 400).

View 20
Documented appearance
400 metres is one lane-1 lap of a standard outdoor athletics track.

400 metres is one lane-1 lap of a standard outdoor athletics track.

Mathematically related

  • is the square of20
    why?

    Strength 0.50, confidence "high".

Numbers Around Us

  • appears inStandard athletics track lap distance
    why?

    Strength 0.50, confidence "high".

How is 400 connected to another number? →

Sport

  • A standard outdoor athletics track measures 400 metres in lane 1, making it the reference distance from which other track events are derived — 800 m is two laps and the 4 × 400 m relay one lap per runner.

    DocumentedSportGeography: athletics (international)

Mathematics

  • 400 is a perfect square: 20² = 400.

    DocumentedMathematics

Common questions

Is 400 a prime number?

No, 400 is not prime.

What are the factors of 400?

The factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400.

What is 400 in Roman numerals?

400 in Roman numerals is CD.

About this page's data

Mathematical facts:computed directly from the number's value — nothing to source or verify externally.

Contextual records: 2 reviewer-confirmed records, sourced and reviewed before publication.

Last reviewed: 30 July 2026