460032 has 36 divisors (see below), whose sum is σ = 1226400. Its totient is φ = 153088.

The previous prime is 460013. The next prime is 460039. The reversal of 460032 is 230064.

It is a junction number, because it is equal to n+sod(n) for n = 459993 and 460020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460039) by changing a digit.

460032 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 469 + ... + 1067.

2⁴⁶⁰⁰³² 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 460032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613200).

460032 is an abundant number, since it is smaller than the sum of its proper divisors (766368).

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

460032 is an equidigital number, since it uses as much as digits as its factorization.

460032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 460032 is about 678.2565886153. The cubic root of 460032 is about 77.1962162678.

Adding to 460032 its reverse (230064), we get a palindrome (690096).

The spelling of 460032 in words is "four hundred sixty thousand, thirty-two".