461958 has 32 divisors (see below), whose sum is σ = 1119744. Its totient is φ = 124032.

The previous prime is 461957. The next prime is 461971. The reversal of 461958 is 859164.

461958 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461957) 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, 391 + ... + 1037.

It is an arithmetic number, because the mean of its divisors is an integer number (34992).

2⁴⁶¹⁹⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559872).

461958 is an abundant number, since it is smaller than the sum of its proper divisors (657786).

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

461958 is a wasteful number, since it uses less digits than its factorization.

461958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676.

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

The square root of 461958 is about 679.6749222974. The cubic root of 461958 is about 77.3037978438.

The spelling of 461958 in words is "four hundred sixty-one thousand, nine hundred fifty-eight".