468776 has 32 divisors (see below), whose sum is σ = 1097280. Its totient is φ = 182400.

The previous prime is 468773. The next prime is 468781. The reversal of 468776 is 677864.

468776 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 468776.

It is not an unprimeable number, because it can be changed into a prime (468773) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 236 + ... + 996.

It is an arithmetic number, because the mean of its divisors is an integer number (34290).

2⁴⁶⁸⁷⁷⁶ 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 468776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548640).

468776 is an abundant number, since it is smaller than the sum of its proper divisors (628504).

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

468776 is a wasteful number, since it uses less digits than its factorization.

468776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 781 counting only the distinct ones).

The product of its digits is 56448, while the sum is 38.

The square root of 468776 is about 684.6721843335. The cubic root of 468776 is about 77.6822488542.

The spelling of 468776 in words is "four hundred sixty-eight thousand, seven hundred seventy-six".