Number

410

410 is a composite number, even, a calendar year.

Deficient Number Descending Digits Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree Year

Notable events — 410 AD

Aug 24 Alaric and the Visigoths sack Rome.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

Historical context — 410 BC

Calendar year

Year 410 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: 52
Started on: Friday
January 1, 410
Ended on: Friday
December 31, 410
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 410s
410–419
Century: 5th century
401–500
Millennium: 1st millennium
1–1000
Years ago: 1,616
1616 years before 2026.

In other calendars

Hebrew: 4170 / 4171 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Metal zodiac:Dog
Sexagenary cycle position 47 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 953 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 402 / 403 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 332 / 331 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 9 bits
Reversed: 14
Recamán's sequence: a(496) = 410
Square (n²): 168,100
Cube (n³): 68,921,000
Divisor count: 8
σ(n) — sum of divisors: 756
φ(n) — Euler's totient: 160
Sum of prime factors: 48

Primality

Prime factorization: 2 × 5 × 41

Nearest primes: 409 (−1) · 419 (+9)

Divisors & multiples

All divisors (8)

1 · 2 · 5 · 10 · 41 · 82 · 205 (half) · 410

Aliquot sum (sum of proper divisors): 346

Factor pairs (a × b = 410)

1 × 410

2 × 205

5 × 82

10 × 41

First multiples

410 · 820 (double) · 1,230 · 1,640 · 2,050 · 2,460 · 2,870 · 3,280 · 3,690 · 4,100

Sums & aliquot sequence

As a sum of two squares: 7² + 19² = 11² + 17²

As consecutive integers: 101 + 102 + 103 + 104 80 + 81 + 82 + 83 + 84 11 + 12 + … + 30

Aliquot sequence: 410 → 346 → 176 → 196 → 203 → 37 → 1 → 0 — terminates at zero

Representations

In words: four hundred ten
Ordinal: 410th
Roman numeral: CDX
Binary: 110011010
Octal: 632
Hexadecimal: 0x19A
Base64: AZo=
One's complement: 65,125 (16-bit)

In other bases

ternary (3) 120012

quaternary (4) 12122

quinary (5) 3120

senary (6) 1522

septenary (7) 1124

nonary (9) 505

undecimal (11) 343

duodecimal (12) 2a2

tridecimal (13) 257

tetradecimal (14) 214

pentadecimal (15) 1c5

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓎆
Greek (Milesian): υιʹ
Mayan (base 20): 𝋡·𝋠·𝋪
Chinese: 四百一十
Chinese (financial): 肆佰壹拾

In other modern scripts

Eastern Arabic ٤١٠ Devanagari ४१० Bengali ৪১০ Tamil ௪௧௦ Thai ๔๑๐ Tibetan ༤༡༠ Khmer ៤១០ Lao ໔໑໐ Burmese ၄၁၀

Digit at this position in famous constants

π — Pi (π): Digit 410 = 3
e — Euler's number (e): Digit 410 = 0
φ — Golden ratio (φ): Digit 410 = 2
√2 — Pythagoras's (√2): Digit 410 = 9
ln 2 — Natural log of 2: Digit 410 = 1
γ — Euler-Mascheroni (γ): Digit 410 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 410, here are decompositions:

13 + 397 = 410
31 + 379 = 410
37 + 373 = 410
43 + 367 = 410
61 + 349 = 410
73 + 337 = 410
79 + 331 = 410
97 + 313 = 410

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Small Letter L With Bar

U+019A

Lowercase letter (Ll)

UTF-8 encoding: C6 9A (2 bytes).

Lookup U+019A on Compart ↗ Lookup on FileFormat.Info ↗

HTTP status code

HTTP 410 Gone — Resource is no longer available and will not be available again.

4xx class: Client Error.

Hex color

#00019A

RGB(0, 1, 154)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.154.

Address: 0.0.1.154
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.154

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

NANP area code 410

The number 410 is an active NANP area code (North American Numbering Plan).

Primary area: Baltimore / Eastern Shore
Region: Maryland
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 410 ↗