384468 has 48 divisors (see below), whose sum is σ = 1075200. Its totient is φ = 104544.

The previous prime is 384437. The next prime is 384469. The reversal of 384468 is 864483.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384469) 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, 1833 + ... + 2031.

It is an arithmetic number, because the mean of its divisors is an integer number (22400).

2³⁸⁴⁴⁶⁸ 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 384468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537600).

384468 is an abundant number, since it is smaller than the sum of its proper divisors (690732).

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

384468 is a wasteful number, since it uses less digits than its factorization.

384468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 234 counting only the distinct ones).

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

The square root of 384468 is about 620.0548362847. The cubic root of 384468 is about 72.7143399352.

The spelling of 384468 in words is "three hundred eighty-four thousand, four hundred sixty-eight".