461539 has 6 divisors (see below), whose sum is σ = 499956. Its totient is φ = 425880.

The previous prime is 461521. The next prime is 461561. The reversal of 461539 is 935164.

It is not a de Polignac number, because 461539 - 2⁵ = 461507 is a prime.

It is a Duffinian number.

461539 is a lucky number.

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

It is a Kaprekar number, because its square (213018248521) can be partitioned into two parts whose sum is 461539.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1197 + ... + 1534.

It is an arithmetic number, because the mean of its divisors is an integer number (83326).

2⁴⁶¹⁵³⁹ is an apocalyptic number.

461539 is a deficient number, since it is larger than the sum of its proper divisors (38417).

461539 is a wasteful number, since it uses less digits than its factorization.

461539 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2744 counting only the distinct ones).

The product of its digits is 3240, while the sum is 28.

The square root of 461539 is about 679.3666167836. The cubic root of 461539 is about 77.2804190309.

It can be divided in two parts, 461 and 539, that added together give a cube (1000 = 10³).

The spelling of 461539 in words is "four hundred sixty-one thousand, five hundred thirty-nine".