460160 has 32 divisors (see below), whose sum is σ = 1101600. Its totient is φ = 183808.

The previous prime is 460157. The next prime is 460171. The reversal of 460160 is 61064.

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 281 + ... + 999.

It is an arithmetic number, because the mean of its divisors is an integer number (34425).

2⁴⁶⁰¹⁶⁰ is an apocalyptic number.

460160 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 460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550800).

460160 is an abundant number, since it is smaller than the sum of its proper divisors (641440).

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

460160 is an equidigital number, since it uses as much as digits as its factorization.

460160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 460160 is about 678.3509416224. The cubic root of 460160 is about 77.2033753345.

The spelling of 460160 in words is "four hundred sixty thousand, one hundred sixty".