384978 has 32 divisors (see below), whose sum is σ = 887040. Its totient is φ = 110160.

The previous prime is 384973. The next prime is 385001. The reversal of 384978 is 879483.

It is not an unprimeable number, because it can be changed into a prime (384973) by changing a digit.

384978 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1101 + ... + 1407.

It is an arithmetic number, because the mean of its divisors is an integer number (27720).

2³⁸⁴⁹⁷⁸ is an apocalyptic number.

384978 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 384978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443520).

384978 is an abundant number, since it is smaller than the sum of its proper divisors (502062).

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

384978 is a wasteful number, since it uses less digits than its factorization.

384978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342.

The product of its digits is 48384, while the sum is 39.

The square root of 384978 is about 620.4659539411. The cubic root of 384978 is about 72.7464777879.

The spelling of 384978 in words is "three hundred eighty-four thousand, nine hundred seventy-eight".