465168 has 40 divisors (see below), whose sum is σ = 1312416. Its totient is φ = 140800.

The previous prime is 465167. The next prime is 465169. The reversal of 465168 is 861564.

It is an interprime number because it is at equal distance from previous prime (465167) and next prime (465169).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (465161) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 88 + ... + 968.

2⁴⁶⁵¹⁶⁸ is an apocalyptic number.

465168 is a gapful number since it is divisible by the number (48) 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 465168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656208).

465168 is an abundant number, since it is smaller than the sum of its proper divisors (847248).

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

465168 is a wasteful number, since it uses less digits than its factorization.

465168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 897 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 465168 is about 682.0322573017. The cubic root of 465168 is about 77.4824379214.

The spelling of 465168 in words is "four hundred sixty-five thousand, one hundred sixty-eight".