461332 has 24 divisors (see below), whose sum is σ = 864360. Its totient is φ = 215040.

The previous prime is 461327. The next prime is 461333. The reversal of 461332 is 233164.

It can be written as a sum of positive squares in 4 ways, for example, as 4356 + 456976 = 66^2 + 676^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461333) 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, 4708 + ... + 4804.

It is an arithmetic number, because the mean of its divisors is an integer number (36015).

2⁴⁶¹³³² is an apocalyptic number.

It is an amenable number.

461332 is a deficient number, since it is larger than the sum of its proper divisors (403028).

461332 is a wasteful number, since it uses less digits than its factorization.

461332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 169 counting only the distinct ones).

The product of its digits is 432, while the sum is 19.

The square root of 461332 is about 679.2142519117. The cubic root of 461332 is about 77.2688638941.

Adding to 461332 its reverse (233164), we get a palindrome (694496).

It can be divided in two parts, 46 and 1332, that added together give a triangular number (1378 = T₅₂).

The spelling of 461332 in words is "four hundred sixty-one thousand, three hundred thirty-two".