460960 has 48 divisors (see below), whose sum is σ = 1130976. Its totient is φ = 177408.

The previous prime is 460951. The next prime is 460969. The reversal of 460960 is 69064.

460960 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (460951) and next prime (460969).

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (460969) by changing a digit.

460960 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 7 ways as a sum of consecutive naturals, for example, 6847 + ... + 6913.

It is an arithmetic number, because the mean of its divisors is an integer number (23562).

2⁴⁶⁰⁹⁶⁰ is an apocalyptic number.

460960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565488).

460960 is an abundant number, since it is smaller than the sum of its proper divisors (670016).

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

460960 is a wasteful number, since it uses less digits than its factorization.

460960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 460960 is about 678.9403508409. The cubic root of 460960 is about 77.2480894505.

The spelling of 460960 in words is "four hundred sixty thousand, nine hundred sixty".