Number

409

409 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Year

Historical context — 409 AD

Calendar year

Year 409 (CDIX) was a common year starting on Friday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

Historical context — 409 BC

Calendar year

Year 409 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

Year facts

Year type: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 409
Ended on: Thursday
December 31, 409
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 400s
400–409
Century: 5th century
401–500
Millennium: 1st millennium
1–1000
Years ago: 1,617
1617 years before 2026.

In other calendars

Hebrew: 4169 / 4170 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Earth zodiac:Rooster
Sexagenary cycle position 46 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 952 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 401 / 402 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 331 / 330 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 9 bits
Reversed: 904
Recamán's sequence: a(498) = 409
Square (n²): 167,281
Cube (n³): 68,417,929
Divisor count: 2
σ(n) — sum of divisors: 410
φ(n) — Euler's totient: 408

Primality

409 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 409

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 409)

1 × 409

First multiples

409 · 818 (double) · 1,227 · 1,636 · 2,045 · 2,454 · 2,863 · 3,272 · 3,681 · 4,090

Sums & aliquot sequence

As a sum of two squares: 3² + 20²

As consecutive integers: 204 + 205

Representations

In words: four hundred nine
Ordinal: 409th
Roman numeral: CDIX
Binary: 110011001
Octal: 631
Hexadecimal: 0x199
Base64: AZk=
One's complement: 65,126 (16-bit)

In other bases

ternary (3) 120011

quaternary (4) 12121

quinary (5) 3114

senary (6) 1521

septenary (7) 1123

nonary (9) 504

undecimal (11) 342

duodecimal (12) 2a1

tridecimal (13) 256

tetradecimal (14) 213

pentadecimal (15) 1c4

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): υθʹ
Mayan (base 20): 𝋡·𝋠·𝋩
Chinese: 四百零九
Chinese (financial): 肆佰零玖

In other modern scripts

Eastern Arabic ٤٠٩ Devanagari ४०९ Bengali ৪০৯ Tamil ௪௦௯ Thai ๔๐๙ Tibetan ༤༠༩ Khmer ៤០៩ Lao ໔໐໙ Burmese ၄၀၉

Digit at this position in famous constants

π — Pi (π): Digit 409 = 0
e — Euler's number (e): Digit 409 = 9
φ — Golden ratio (φ): Digit 409 = 6
√2 — Pythagoras's (√2): Digit 409 = 9
ln 2 — Natural log of 2: Digit 409 = 1
γ — Euler-Mascheroni (γ): Digit 409 = 2

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 401 (gap of 8)
Next prime: 419 (gap of 10)

Unicode codepoint

Latin Small Letter K With Hook

U+0199

Lowercase letter (Ll)

UTF-8 encoding: C6 99 (2 bytes).

Lookup U+0199 on Compart ↗ Lookup on FileFormat.Info ↗

HTTP status code

HTTP 409 Conflict — Request conflicts with the current state of the resource.

4xx class: Client Error.

Hex color

#000199

RGB(0, 1, 153)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.153.

Address: 0.0.1.153
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.153

Unspecified address (0.0.0.0/8) — "this network" placeholder.

NANP area code 409

The number 409 is an active NANP area code (North American Numbering Plan).

Primary area: Beaumont / Galveston
Region: Texas
Country: United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Look up area code 409 ↗