450
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 1209
- Proper Divisor Sum (Aliquot Sum)
- 759
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 120
- Möbius Function
- 0
- Radical
- 30
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 53
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- vierhundertfünfzig· ordinal: vierhundertfünfzigste
- English
- four hundred fifty· ordinal: four hundred fiftieth
- Spanish
- cuatrocientos cincuenta· ordinal: 450º
- French
- quatre cent cinquante· ordinal: quatre cent cinquantième
- Italian
- quattrocentocinquanta· ordinal: 450º
- Latin
- quadringenti quinquaginta· ordinal: 450.
- Portuguese
- quatrocentos e cinquenta· ordinal: 450º
Appears in sequences
- Number of binary partitions: number of partitions of 2n into powers of 2.at n=21A000123
- Number of compositions of n into 3 ordered relatively prime parts.at n=32A000741
- Number of symmetrical planar partitions of n (planar partitions (A000219) that when regarded as 3-D objects have just one symmetry plane).at n=20A000784
- Number of free nonplanar polyenoids with n nodes and symmetry point group C_s.at n=4A000948
- a(n) = ceiling(n^2/2).at n=30A000982
- Numbers that are the sum of 2 successive primes.at n=47A001043
- a(n) = 2*n^2.at n=15A001105
- a(n) = A059366(n,n-2) = A059366(n,2) for n >= 2, where the triangle A059366 arises in the expansion of a trigonometric integral.at n=3A001194
- a(n) is the solution to the postage stamp problem with n denominations and 3 stamps.at n=15A001213
- Partial sums of A001462; also a(n) is the last occurrence of n in A001462.at n=51A001463
- a(n) = a(n-2) + a(n-5).at n=35A001687
- a(n) = A059366(n,n-3) = A059366(n,3) for n >= 3, where the triangle A059366 arises from the expansion of a trigonometric integral.at n=2A001756
- Expansion of an integral: central elements of rows of triangle in A059366.at n=5A001757
- Coefficients of Laguerre polynomials.at n=2A001811
- Related to graded partially ordered sets.at n=3A001829
- Nearest integer to n^2/8.at n=60A001971
- Expansion of 1/((1-x)^2*(1-x^4)) = 1/( (1+x)*(1+x^2)*(1-x)^3 ).at n=57A001972
- Sum of totient function: a(n) = Sum_{k=1..n} phi(k), cf. A000010.at n=38A002088
- P_n'(3), where P_n is n-th Legendre polynomial.at n=3A002695
- Logarithmic numbers.at n=4A002742