449
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 450
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 448
- Möbius Function
- -1
- Radical
- 449
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 115
- Smith Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 87
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- vierhundertneunundvierzig· ordinal: vierhundertneunundvierzigste
- English
- four hundred forty-nine· ordinal: four hundred forty-ninth
- Spanish
- cuatrocientos cuarenta y nueve· ordinal: 449º
- French
- quatre cent quarante-neuf· ordinal: quatre cent quarante-neufième
- Italian
- quattrocentoquarantanove· ordinal: 449º
- Latin
- quadringenti quadraginta novem· ordinal: 449.
- Portuguese
- quatrocentos e quarenta e nove· ordinal: 449º
Appears in sequences
- Sum of upward diagonals of Eulerian triangle.at n=8A000800
- Primes with 3 as smallest primitive root.at n=18A001123
- Primes == +-1 (mod 8).at n=40A001132
- Irregular table read by rows: row n lists prime factors of 10^n + 1, with multiplicity.at n=47A001271
- Indices of prime Fibonacci numbers.at n=17A001605
- Numbers n such that every digit contains a loop (version 2).at n=34A001744
- Primes p such that the congruence 2^x = 5 (mod p) is solvable.at n=47A001916
- Pythagorean primes: primes of the form 4*k + 1.at n=41A002144
- Numbers k for which the rank of the elliptic curve y^2 = x^3 + k is 2.at n=67A002155
- a(n) = a(n-1) - 2*a(n-2) with a(0) = 2, a(1) = 1.at n=16A002249
- Primes congruent to 1 or 2 modulo 4; or, primes of form x^2 + y^2; or, -1 is a square mod p.at n=42A002313
- Numbers k such that binomial(2*k,k) is divisible by (k+1)^2.at n=40A002503
- Primes p with a Fibonacci primitive root g, i.e., such that g^2 = g + 1 (mod p).at n=27A003147
- Numbers that are the sum of 9 positive 4th powers.at n=48A003343
- Numbers that are the sum of 8 positive 6th powers.at n=7A003364
- Primes of the form 3n-1.at n=44A003627
- Inert rational primes in Q[sqrt(3)].at n=42A003630
- Discriminants of quadratic fields whose fundamental unit has norm -1.at n=55A003653
- Discriminants of real quadratic fields with narrow class number 1.at n=39A003655
- Sum of remainders of n mod k, for k = 1, 2, 3, ..., n.at n=50A004125