Number

450

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

Abundant Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 450 AD

Calendar year

Year 450 was a common year starting on Sunday of the Julian calendar, the 450th Year of the Common Era (CE) and Anno Domini (AD designations, the 450th year of the 1st millennium, the 50th year of the half of 5th century, and the 1st year of the 450s decade.

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Historical context — 450 BC

Calendar year

Year 450 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: Saturday
January 1, 450
Ended on: Saturday
December 31, 450
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 450s
450–459
Century: 5th century
401–500
Millennium: 1st millennium
1–1000
Years ago: 1,576
1576 years before 2026.

In other calendars

Hebrew: 4210 / 4211 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Metal zodiac:Tiger
Sexagenary cycle position 27 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 993 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 442 / 443 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 372 / 371 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 9 bits
Reversed: 54
Recamán's sequence: a(192) = 450
Square (n²): 202,500
Cube (n³): 91,125,000
Divisor count: 18
σ(n) — sum of divisors: 1,209
φ(n) — Euler's totient: 120
Sum of prime factors: 18

Primality

Prime factorization: 2 × 3 ² × 5 ²

Nearest primes: 449 (−1) · 457 (+7)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 5 · 6 · 9 · 10 · 15 · 18 · 25 · 30 · 45 · 50 · 75 · 90 · 150 · 225 (half) · 450

Aliquot sum (sum of proper divisors): 759

Factor pairs (a × b = 450)

1 × 450

2 × 225

3 × 150

5 × 90

6 × 75

9 × 50

10 × 45

15 × 30

18 × 25

First multiples

450 · 900 (double) · 1,350 · 1,800 · 2,250 · 2,700 · 3,150 · 3,600 · 4,050 · 4,500

Sums & aliquot sequence

As a sum of two squares: 3² + 21² = 15² + 15²

As consecutive integers: 149 + 150 + 151 111 + 112 + 113 + 114 88 + 89 + 90 + 91 + 92 46 + 47 + … + 54

Aliquot sequence: 450 → 759 → 393 → 135 → 105 → 87 → 33 → 15 → 9 → 4 → 3 → 1 → 0 — terminates at zero

Representations

In words: four hundred fifty
Ordinal: 450th
Roman numeral: CDL
Binary: 111000010
Octal: 702
Hexadecimal: 0x1C2
Base64: AcI=
One's complement: 65,085 (16-bit)

In other bases

ternary (3) 121200

quaternary (4) 13002

quinary (5) 3300

senary (6) 2030

septenary (7) 1212

nonary (9) 550

undecimal (11) 37a

duodecimal (12) 316

tridecimal (13) 288

tetradecimal (14) 242

pentadecimal (15) 200

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): υνʹ
Mayan (base 20): 𝋡·𝋢·𝋪
Chinese: 四百五十
Chinese (financial): 肆佰伍拾

In other modern scripts

Eastern Arabic ٤٥٠ Devanagari ४५० Bengali ৪৫০ Tamil ௪௫௦ Thai ๔๕๐ Tibetan ༤༥༠ Khmer ៤៥០ Lao ໔໕໐ Burmese ၄၅၀

Digit at this position in famous constants

π — Pi (π): Digit 450 = 4
e — Euler's number (e): Digit 450 = 9
φ — Golden ratio (φ): Digit 450 = 5
√2 — Pythagoras's (√2): Digit 450 = 9
ln 2 — Natural log of 2: Digit 450 = 9
γ — Euler-Mascheroni (γ): Digit 450 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 450, here are decompositions:

7 + 443 = 450
11 + 439 = 450
17 + 433 = 450
19 + 431 = 450
29 + 421 = 450
31 + 419 = 450
41 + 409 = 450
53 + 397 = 450

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Letter Alveolar Click

U+01C2

Other letter (Lo)

UTF-8 encoding: C7 82 (2 bytes).

Lookup U+01C2 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0001C2

RGB(0, 1, 194)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.194.

Address: 0.0.1.194
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.194

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

NANP area code 450

The number 450 is an active NANP area code (North American Numbering Plan).

Primary area: Outside Montreal
Region: Québec
Country: Canada

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 450 ↗