459901 has 8 divisors (see below), whose sum is σ = 524664. Its totient is φ = 399360.

The previous prime is 459883. The next prime is 459913. The reversal of 459901 is 109954.

It can be written as a sum of positive squares in 4 ways, for example, as 36100 + 423801 = 190^2 + 651^2 .

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

It is not a de Polignac number, because 459901 - 2¹³ = 451709 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 459901.

It is a congruent 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, 820 + ... + 1261.

It is an arithmetic number, because the mean of its divisors is an integer number (65583).

2⁴⁵⁹⁹⁰¹ is an apocalyptic number.

It is an amenable number.

459901 is a deficient number, since it is larger than the sum of its proper divisors (64763).

459901 is a wasteful number, since it uses less digits than its factorization.

459901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111.

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 459901 is about 678.1600106170. The cubic root of 459901 is about 77.1888880353.

The spelling of 459901 in words is "four hundred fifty-nine thousand, nine hundred one".