385848 has 48 divisors (see below), whose sum is σ = 1095120. Its totient is φ = 122496.

The previous prime is 385843. The next prime is 385859. The reversal of 385848 is 848583.

385848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×385848³ = 172333621724760576, which contains 333 as substring.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385843) by changing a digit.

385848 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1540 + ... + 1772.

It is an arithmetic number, because the mean of its divisors is an integer number (22815).

2³⁸⁵⁸⁴⁸ 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 385848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547560).

385848 is an abundant number, since it is smaller than the sum of its proper divisors (709272).

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

385848 is a wasteful number, since it uses less digits than its factorization.

385848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 261 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 385848 is about 621.1666443073. The cubic root of 385848 is about 72.8012357396.

It can be divided in two parts, 38 and 5848, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 385848 in words is "three hundred eighty-five thousand, eight hundred forty-eight".