461132 has 24 divisors (see below), whose sum is σ = 946176. Its totient is φ = 192528.

The previous prime is 461119. The next prime is 461143. The reversal of 461132 is 231164.

It is a self number, because there is not a number n which added to its sum of digits gives 461132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1013 + ... + 1395.

It is an arithmetic number, because the mean of its divisors is an integer number (39424).

2⁴⁶¹¹³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473088).

461132 is an abundant number, since it is smaller than the sum of its proper divisors (485044).

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

461132 is a wasteful number, since it uses less digits than its factorization.

461132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 435 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 461132 is about 679.0670070030. The cubic root of 461132 is about 77.2576962270.

Adding to 461132 its reverse (231164), we get a palindrome (692296).

The spelling of 461132 in words is "four hundred sixty-one thousand, one hundred thirty-two".