459681 has 8 divisors (see below), whose sum is σ = 621600. Its totient is φ = 302112.

The previous prime is 459677. The next prime is 459691. The reversal of 459681 is 186954.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 459681 - 2² = 459677 is a prime.

It is a super-2 number, since 2×459681² = 422613243522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

459681 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (459611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 831 + ... + 1268.

It is an arithmetic number, because the mean of its divisors is an integer number (77700).

2⁴⁵⁹⁶⁸¹ is an apocalyptic number.

It is an amenable number.

459681 is a deficient number, since it is larger than the sum of its proper divisors (161919).

459681 is a wasteful number, since it uses less digits than its factorization.

459681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175.

The product of its digits is 8640, while the sum is 33.

The square root of 459681 is about 677.9977876070. The cubic root of 459681 is about 77.1765779483.

It can be divided in two parts, 4 and 59681, that added together give a triangular number (59685 = T₃₄₅).

The spelling of 459681 in words is "four hundred fifty-nine thousand, six hundred eighty-one".