468160 has 112 divisors (see below), whose sum is σ = 1463040. Its totient is φ = 138240.

The previous prime is 468157. The next prime is 468173. The reversal of 468160 is 61864.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24631 + ... + 24649.

2⁴⁶⁸¹⁶⁰ is an apocalyptic number.

468160 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 468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731520).

468160 is an abundant number, since it is smaller than the sum of its proper divisors (994880).

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

468160 is a wasteful number, since it uses less digits than its factorization.

468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 468160 is about 684.2221861355. Note that the first 3 decimals coincide. The cubic root of 468160 is about 77.6482075489.

The spelling of 468160 in words is "four hundred sixty-eight thousand, one hundred sixty".