461632 has 14 divisors (see below), whose sum is σ = 916178. Its totient is φ = 230784.

The previous prime is 461627. The next prime is 461639. The reversal of 461632 is 236164.

It can be written as a sum of positive squares in only one way, i.e., 440896 + 20736 = 664^2 + 144^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461639) by changing a digit.

461632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 3543 + ... + 3670.

2⁴⁶¹⁶³² is an apocalyptic number.

It is an amenable number.

461632 is a deficient number, since it is larger than the sum of its proper divisors (454546).

461632 is an equidigital number, since it uses as much as digits as its factorization.

461632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7225 (or 7215 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 461632 is about 679.4350594428. The cubic root of 461632 is about 77.2856093444.

Adding to 461632 its reverse (236164), we get a palindrome (697796).

The spelling of 461632 in words is "four hundred sixty-one thousand, six hundred thirty-two".