384642 has 32 divisors (see below), whose sum is σ = 907200. Its totient is φ = 120384.

The previous prime is 384641. The next prime is 384673. The reversal of 384642 is 246483.

384642 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (384641) 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, 709 + ... + 1127.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2³⁸⁴⁶⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453600).

384642 is an abundant number, since it is smaller than the sum of its proper divisors (522558).

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

384642 is a wasteful number, since it uses less digits than its factorization.

384642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 441 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 384642 is about 620.1951305839. The cubic root of 384642 is about 72.7253078068.

The spelling of 384642 in words is "three hundred eighty-four thousand, six hundred forty-two".