461759 has 4 divisors (see below), whose sum is σ = 463704. Its totient is φ = 459816.

The previous prime is 461717. The next prime is 461801. The reversal of 461759 is 957164.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (461717) and next prime (461801).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-461759 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 461759.

It is not an unprimeable number, because it can be changed into a prime (461059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 557 + ... + 1110.

It is an arithmetic number, because the mean of its divisors is an integer number (115926).

2⁴⁶¹⁷⁵⁹ is an apocalyptic number.

461759 is a deficient number, since it is larger than the sum of its proper divisors (1945).

461759 is a wasteful number, since it uses less digits than its factorization.

461759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944.

The product of its digits is 7560, while the sum is 32.

The square root of 461759 is about 679.5285130147. The cubic root of 461759 is about 77.2926960660.

The spelling of 461759 in words is "four hundred sixty-one thousand, seven hundred fifty-nine".