459969 has 16 divisors (see below), whose sum is σ = 673920. Its totient is φ = 277760.

The previous prime is 459961. The next prime is 460013. The reversal of 459969 is 969954.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 459969 - 2³ = 459961 is a prime.

It is a super-2 number, since 2×459969² = 423142961922, which contains 22 as substring.

Its product of digits (87480) is a multiple of the sum of its prime divisors (360).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 459969.

It is not an unprimeable number, because it can be changed into a prime (459961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1324 + ... + 1634.

It is an arithmetic number, because the mean of its divisors is an integer number (42120).

2⁴⁵⁹⁹⁶⁹ is an apocalyptic number.

It is an amenable number.

459969 is a deficient number, since it is larger than the sum of its proper divisors (213951).

459969 is a wasteful number, since it uses less digits than its factorization.

459969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360.

The product of its digits is 87480, while the sum is 42.

The square root of 459969 is about 678.2101444243. The cubic root of 459969 is about 77.1926921770.

The spelling of 459969 in words is "four hundred fifty-nine thousand, nine hundred sixty-nine".