385140 has 72 divisors (see below), whose sum is σ = 1264032. Its totient is φ = 87360.

The previous prime is 385139. The next prime is 385141. The reversal of 385140 is 41583.

385140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (385139) and next prime (385141).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 385140.

It is not an unprimeable number, because it can be changed into a prime (385141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2875 + ... + 3005.

It is an arithmetic number, because the mean of its divisors is an integer number (17556).

2³⁸⁵¹⁴⁰ is an apocalyptic number.

385140 is a gapful number since it is divisible by the number (30) 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 385140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632016).

385140 is an abundant number, since it is smaller than the sum of its proper divisors (878892).

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

385140 is a wasteful number, since it uses less digits than its factorization.

385140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 385140 is about 620.5964872604. The cubic root of 385140 is about 72.7566803421.

It can be divided in two parts, 385 and 140, that added together give a palindrome (525).

The spelling of 385140 in words is "three hundred eighty-five thousand, one hundred forty".