389844 has 108 divisors (see below), whose sum is σ = 1307124. Its totient is φ = 96768.

The previous prime is 389839. The next prime is 389849. The reversal of 389844 is 448983.

It is an interprime number because it is at equal distance from previous prime (389839) and next prime (389849).

It can be written as a sum of positive squares in 2 ways, for example, as 176400 + 213444 = 420^2 + 462^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (27648) is a multiple of the sum of its prime factors (54).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 389799 and 389808.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 389844.

It is not an unprimeable number, because it can be changed into a prime (389849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22924 + ... + 22940.

It is an arithmetic number, because the mean of its divisors is an integer number (12103).

2³⁸⁹⁸⁴⁴ is an apocalyptic number.

389844 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653562).

389844 is an abundant number, since it is smaller than the sum of its proper divisors (917280).

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

389844 is a wasteful number, since it uses less digits than its factorization.

389844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 42 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 389844 is about 624.3748873874. The cubic root of 389844 is about 73.0516929167.

The spelling of 389844 in words is "three hundred eighty-nine thousand, eight hundred forty-four".