461864 has 16 divisors (see below), whose sum is σ = 932820. Its totient is φ = 213120.

The previous prime is 461861. The next prime is 461887. The reversal of 461864 is 468164.

461864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 432964 + 28900 = 658^2 + 170^2 .

It is not an unprimeable number, because it can be changed into a prime (461861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2117 + ... + 2324.

2⁴⁶¹⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

461864 is an abundant number, since it is smaller than the sum of its proper divisors (470956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

461864 is a wasteful number, since it uses less digits than its factorization.

461864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4460 (or 4456 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 461864 is about 679.6057680744. The cubic root of 461864 is about 77.2985541854.

It can be divided in two parts, 4 and 61864, that multiplied together give a triangular number (247456 = T₇₀₃).

The spelling of 461864 in words is "four hundred sixty-one thousand, eight hundred sixty-four".