468384 has 96 divisors (see below), whose sum is σ = 1524096. Its totient is φ = 122880.

The previous prime is 468371. The next prime is 468389. The reversal of 468384 is 483864.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11404 + ... + 11444.

It is an arithmetic number, because the mean of its divisors is an integer number (15876).

2⁴⁶⁸³⁸⁴ 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 468384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762048).

468384 is an abundant number, since it is smaller than the sum of its proper divisors (1055712).

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

468384 is a wasteful number, since it uses less digits than its factorization.

468384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 70 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 468384 is about 684.3858560783. The cubic root of 468384 is about 77.6605896584.

The spelling of 468384 in words is "four hundred sixty-eight thousand, three hundred eighty-four".