468084 has 24 divisors (see below), whose sum is σ = 1150240. Its totient is φ = 147744.

The previous prime is 468079. The next prime is 468107. The reversal of 468084 is 480864.

468084 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 468084.

It is an unprimeable number.

468084 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, 799 + ... + 1254.

2⁴⁶⁸⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

468084 is an abundant number, since it is smaller than the sum of its proper divisors (682156).

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

468084 is a wasteful number, since it uses less digits than its factorization.

468084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 468084 is about 684.1666463662. The cubic root of 468084 is about 77.6440055786.

The spelling of 468084 in words is "four hundred sixty-eight thousand, eighty-four".