450117 has 10 divisors (see below), whose sum is σ = 672518. Its totient is φ = 300024.

The previous prime is 450113. The next prime is 450127. The reversal of 450117 is 711054.

It can be written as a sum of positive squares in only one way, i.e., 443556 + 6561 = 666^2 + 81^2 .

It is not a de Polignac number, because 450117 - 2² = 450113 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 450117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2698 + ... + 2859.

2⁴⁵⁰¹¹⁷ is an apocalyptic number.

It is an amenable number.

450117 is a deficient number, since it is larger than the sum of its proper divisors (222401).

450117 is an equidigital number, since it uses as much as digits as its factorization.

450117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5569 (or 5560 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 450117 is about 670.9075942334. The cubic root of 450117 is about 76.6375840123.

It can be divided in two parts, 450 and 117, that multiplied together give a triangular number (52650 = T₃₂₄).

The spelling of 450117 in words is "four hundred fifty thousand, one hundred seventeen".