461032 has 48 divisors (see below), whose sum is σ = 1054080. Its totient is φ = 187200.

The previous prime is 461017. The next prime is 461051. The reversal of 461032 is 230164.

It is a junction number, because it is equal to n+sod(n) for n = 460997 and 461015.

It is an unprimeable number.

461032 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14857 + ... + 14887.

It is an arithmetic number, because the mean of its divisors is an integer number (21960).

2⁴⁶¹⁰³² 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 461032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527040).

461032 is an abundant number, since it is smaller than the sum of its proper divisors (593048).

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

461032 is a wasteful number, since it uses less digits than its factorization.

461032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 461032 is about 678.9933725744. The cubic root of 461032 is about 77.2521111826.

Adding to 461032 its reverse (230164), we get a palindrome (691196).

The spelling of 461032 in words is "four hundred sixty-one thousand, thirty-two".