384678 has 48 divisors (see below), whose sum is σ = 988416. Its totient is φ = 105840.

The previous prime is 384673. The next prime is 384691. The reversal of 384678 is 876483.

Its product of digits (32256) is a multiple of the sum of its prime divisors (126).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5383 + ... + 5453.

It is an arithmetic number, because the mean of its divisors is an integer number (20592).

2³⁸⁴⁶⁷⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494208).

384678 is an abundant number, since it is smaller than the sum of its proper divisors (603738).

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

384678 is a wasteful number, since it uses less digits than its factorization.

384678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 126 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 384678 is about 620.2241530286. The cubic root of 384678 is about 72.7275766086.

It can be divided in two parts, 3 and 84678, that added together give a square (84681 = 291²).

The spelling of 384678 in words is "three hundred eighty-four thousand, six hundred seventy-eight".