461232 has 30 divisors (see below), whose sum is σ = 1291212. Its totient is φ = 153696.

The previous prime is 461207. The next prime is 461233. The reversal of 461232 is 232164.

It is a happy number.

461232 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (461233) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1458 + ... + 1745.

2⁴⁶¹²³² is an apocalyptic number.

It is an amenable number.

461232 is an abundant number, since it is smaller than the sum of its proper divisors (829980).

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

461232 is a wasteful number, since it uses less digits than its factorization.

461232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217 (or 3208 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 461232 is about 679.1406334479. The cubic root of 461232 is about 77.2632804641.

Adding to 461232 its reverse (232164), we get a palindrome (693396).

The spelling of 461232 in words is "four hundred sixty-one thousand, two hundred thirty-two".