468768 has 48 divisors (see below), whose sum is σ = 1300320. Its totient is φ = 147456.

The previous prime is 468761. The next prime is 468773. The reversal of 468768 is 867864.

468768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 5.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 468768.

It is not an unprimeable number, because it can be changed into a prime (468761) by changing a digit.

468768 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, 1696 + ... + 1952.

It is an arithmetic number, because the mean of its divisors is an integer number (27090).

2⁴⁶⁸⁷⁶⁸ is an apocalyptic number.

468768 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 468768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650160).

468768 is an abundant number, since it is smaller than the sum of its proper divisors (831552).

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

468768 is a wasteful number, since it uses less digits than its factorization.

468768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 281 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 468768 is about 684.6663420966. Note that the first 3 decimals coincide. The cubic root of 468768 is about 77.6818069505.

The spelling of 468768 in words is "four hundred sixty-eight thousand, seven hundred sixty-eight".