461889 has 8 divisors (see below), whose sum is σ = 684320. Its totient is φ = 307908.

The previous prime is 461887. The next prime is 461891. The reversal of 461889 is 988164.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (461887) and next prime (461891).

It is not a de Polignac number, because 461889 - 2¹ = 461887 is a prime.

It is a Duffinian number.

461889 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (461887) 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 7 ways as a sum of consecutive naturals, for example, 8527 + ... + 8580.

It is an arithmetic number, because the mean of its divisors is an integer number (85540).

2⁴⁶¹⁸⁸⁹ is an apocalyptic number.

It is an amenable number.

461889 is a deficient number, since it is larger than the sum of its proper divisors (222431).

461889 is a wasteful number, since it uses less digits than its factorization.

461889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17116 (or 17110 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 461889 is about 679.6241608419. The cubic root of 461889 is about 77.2999488448.

The spelling of 461889 in words is "four hundred sixty-one thousand, eight hundred eighty-nine".