460712 has 32 divisors (see below), whose sum is σ = 1041600. Its totient is φ = 186624.

The previous prime is 460711. The next prime is 460721. The reversal of 460712 is 217064.

It is not an unprimeable number, because it can be changed into a prime (460711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 848 + ... + 1280.

It is an arithmetic number, because the mean of its divisors is an integer number (32550).

2⁴⁶⁰⁷¹² 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 460712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520800).

460712 is an abundant number, since it is smaller than the sum of its proper divisors (580888).

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

460712 is a wasteful number, since it uses less digits than its factorization.

460712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 460712 is about 678.7576887226. The cubic root of 460712 is about 77.2342336113.

Adding to 460712 its reverse (217064), we get a palindrome (677776).

The spelling of 460712 in words is "four hundred sixty thousand, seven hundred twelve".