463761 has 9 divisors (see below), whose sum is σ = 672841. Its totient is φ = 307812.

The previous prime is 463753. The next prime is 463763. The reversal of 463761 is 167364.

The square root of 463761 is 681.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 463761 - 2³ = 463753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (463763) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1930 + ... + 2156.

2⁴⁶³⁷⁶¹ is an apocalyptic number.

463761 is the 681-st square number.

463761 is the 341-st centered octagonal number.

It is an amenable number.

463761 is a deficient number, since it is larger than the sum of its proper divisors (209080).

463761 is an equidigital number, since it uses as much as digits as its factorization.

463761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 230 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The cubic root of 463761 is about 77.4042382952.

The spelling of 463761 in words is "four hundred sixty-three thousand, seven hundred sixty-one".