461559 has 16 divisors (see below), whose sum is σ = 727040. Its totient is φ = 254880.

The previous prime is 461521. The next prime is 461561. The reversal of 461559 is 955164.

It is not a de Polignac number, because 461559 - 2¹³ = 453367 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297 + ... + 1005.

It is an arithmetic number, because the mean of its divisors is an integer number (45440).

2⁴⁶¹⁵⁵⁹ is an apocalyptic number.

461559 is a deficient number, since it is larger than the sum of its proper divisors (265481).

461559 is a wasteful number, since it uses less digits than its factorization.

461559 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750.

The product of its digits is 5400, while the sum is 30.

The square root of 461559 is about 679.3813362170. The cubic root of 461559 is about 77.2815352862.

It can be divided in two parts, 46155 and 9, that added together give a palindrome (46164).

The spelling of 461559 in words is "four hundred sixty-one thousand, five hundred fifty-nine".