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408

408 is the HTTP status code Request Timeout — the server gave up waiting for the client to finish.

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Where 408 fits

Where 408 fits: Mathematics, TechnologyMathematics: Harshad (Niven) number. Technology: HTTP status codes.MathematicsHarshad (Niven) numberTechnologyHTTP status codes408
408 connects to 2 worlds: mathematics, technology.

Why 408 is special

408 is the server's side of a stalled conversation. It fires when a client opens a connection and then sends too slowly, which is also how one class of denial-of-service attack works: hold thousands of connections open, sending a byte at a time. Timeouts exist as much for defence as for tidiness.

Not just a mathematical number

408is also used in ways where ordinary arithmetic doesn't apply — each listed below with what genuinely does and doesn't follow from it.

  • Mathematical number

    A genuine quantity — its mathematical properties (prime, square, factors, and so on) are real facts about it.

    A genuine quantity that ordinary arithmetic applies to — it can be prime, even, a perfect square, added to another number meaningfully, and so on.

  • Code

    Also used as a code — HTTP status codes.

    An assigned identifier from a fixed registry or standard — its digits don't represent an amount, and arithmetic on it is meaningless (HTTP status 404 + 1 is not a 'better' status; it's a different, unrelated code).

Factors & digit properties

Divisors (16)
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Prime factorisation
2^3 × 3 × 17
Digit sum
12
Digital root
3

Representations

Decimal
408
Binary
110011000
Octal
630
Hexadecimal
198
Roman numeral
CDVIII
Scientific notation
4.080 × 10^2

Other mathematical patterns

  • Abundant number
  • Harshad (Niven) number

Related numbers & connections

Documented appearance
408 fires when a client sends too slowly, which is also a recognised denial-of-service pattern.

408 fires when a client sends too slowly, which is also a recognised denial-of-service pattern.

Numbers Around Us

  • appears inHTTP status codes
    why?

    Strength 0.50, confidence "high".

How is 408 connected to another number? →

Technology & computing

  • 408 exists partly for tidiness and partly for safety. Holding a connection open while sending data byte by byte is a recognised denial-of-service technique, because connections are a far scarcer resource than bandwidth; a request timeout is what stops a handful of slow clients from exhausting a server's capacity.

    DocumentedTechnology & computing

Common questions

Is 408 a prime number?

No, 408 is not prime.

What are the factors of 408?

The factors of 408 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408.

What is 408 in Roman numerals?

408 in Roman numerals is CDVIII.

About this page's data

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

Contextual records: 1 reviewer-confirmed record, sourced and reviewed before publication.

Last reviewed: 3 August 2026

408 — Mathematical Properties and Representations | Numberwise