459971 has 8 divisors (see below), whose sum is σ = 496320. Its totient is φ = 424872.

The previous prime is 459961. The next prime is 460013. The reversal of 459971 is 179954.

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

It is a cyclic number.

It is not a de Polignac number, because 459971 - 2¹⁰ = 458947 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (459961) 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, 536 + ... + 1098.

It is an arithmetic number, because the mean of its divisors is an integer number (62040).

2⁴⁵⁹⁹⁷¹ is an apocalyptic number.

459971 is a deficient number, since it is larger than the sum of its proper divisors (36349).

459971 is a wasteful number, since it uses less digits than its factorization.

459971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625.

The product of its digits is 11340, while the sum is 35.

The square root of 459971 is about 678.2116188919. The cubic root of 459971 is about 77.1928040578.

The spelling of 459971 in words is "four hundred fifty-nine thousand, nine hundred seventy-one".