461985 has 16 divisors (see below), whose sum is σ = 778560. Its totient is φ = 233280.

The previous prime is 461983. The next prime is 462013. The reversal of 461985 is 589164.

It is not a de Polignac number, because 461985 - 2¹ = 461983 is a prime.

It is a Curzon number.

461985 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 461985.

It is not an unprimeable number, because it can be changed into a prime (461983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526 + ... + 1095.

It is an arithmetic number, because the mean of its divisors is an integer number (48660).

2⁴⁶¹⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

461985 is a deficient number, since it is larger than the sum of its proper divisors (316575).

461985 is a wasteful number, since it uses less digits than its factorization.

461985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648.

The product of its digits is 8640, while the sum is 33.

The square root of 461985 is about 679.6947844437. The cubic root of 461985 is about 77.3053038696.

The spelling of 461985 in words is "four hundred sixty-one thousand, nine hundred eighty-five".