460768 has 72 divisors (see below), whose sum is σ = 1206576. Its totient is φ = 168960.

The previous prime is 460721. The next prime is 460771. The reversal of 460768 is 867064.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

460768 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, 27096 + ... + 27112.

It is an arithmetic number, because the mean of its divisors is an integer number (16758).

2⁴⁶⁰⁷⁶⁸ 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 460768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603288).

460768 is an abundant number, since it is smaller than the sum of its proper divisors (745808).

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

460768 is a wasteful number, since it uses less digits than its factorization.

460768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 460768 is about 678.7989393038. The cubic root of 460768 is about 77.2373627838.

The spelling of 460768 in words is "four hundred sixty thousand, seven hundred sixty-eight".