385784 has 24 divisors (see below), whose sum is σ = 836760. Its totient is φ = 163344.

The previous prime is 385783. The next prime is 385793. The reversal of 385784 is 487583.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385783) 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 5 ways as a sum of consecutive naturals, for example, 4607 + ... + 4689.

It is an arithmetic number, because the mean of its divisors is an integer number (34865).

2³⁸⁵⁷⁸⁴ 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 385784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418380).

385784 is an abundant number, since it is smaller than the sum of its proper divisors (450976).

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

385784 is an equidigital number, since it uses as much as digits as its factorization.

385784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 92 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 385784 is about 621.1151262045. The cubic root of 385784 is about 72.7972103749.

The spelling of 385784 in words is "three hundred eighty-five thousand, seven hundred eighty-four".