459966 has 16 divisors (see below), whose sum is σ = 990864. Its totient is φ = 141504.

The previous prime is 459961. The next prime is 460013. The reversal of 459966 is 669954.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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

459966 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2871 + ... + 3026.

It is an arithmetic number, because the mean of its divisors is an integer number (61929).

2⁴⁵⁹⁹⁶⁶ is an apocalyptic number.

459966 is an abundant number, since it is smaller than the sum of its proper divisors (530898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

459966 is a wasteful number, since it uses less digits than its factorization.

459966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5915.

The product of its digits is 58320, while the sum is 39.

The square root of 459966 is about 678.2079327168. The cubic root of 459966 is about 77.1925243551.

It can be divided in two parts, 45 and 9966, that added together give a triangular number (10011 = T₁₄₁).

The spelling of 459966 in words is "four hundred fifty-nine thousand, nine hundred sixty-six".