462168 has 72 divisors (see below), whose sum is σ = 1467180. Its totient is φ = 131040.

The previous prime is 462149. The next prime is 462181. The reversal of 462168 is 861264.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

462168 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 17 ways as a sum of consecutive naturals, for example, 3463 + ... + 3593.

2⁴⁶²¹⁶⁸ 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 462168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733590).

462168 is an abundant number, since it is smaller than the sum of its proper divisors (1005012).

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

462168 is a wasteful number, since it uses less digits than its factorization.

462168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 462168 is about 679.8293903620. The cubic root of 462168 is about 77.3155098309.

It can be divided in two parts, 462 and 168, that added together give a triangular number (630 = T₃₅).

The spelling of 462168 in words is "four hundred sixty-two thousand, one hundred sixty-eight".