461688 has 16 divisors (see below), whose sum is σ = 1154280. Its totient is φ = 153888.

The previous prime is 461687. The next prime is 461689. The reversal of 461688 is 886164.

It is an interprime number because it is at equal distance from previous prime (461687) and next prime (461689).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461687) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9595 + ... + 9642.

2⁴⁶¹⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

461688 is an abundant number, since it is smaller than the sum of its proper divisors (692592).

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

461688 is a wasteful number, since it uses less digits than its factorization.

461688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19246 (or 19242 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 461688 is about 679.4762689013. The cubic root of 461688 is about 77.2887343582.

The spelling of 461688 in words is "four hundred sixty-one thousand, six hundred eighty-eight".