385350 has 48 divisors (see below), whose sum is σ = 1095168. Its totient is φ = 87840.

The previous prime is 385331. The next prime is 385351. The reversal of 385350 is 53583.

385350 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 385350.

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 385350.

It is not an unprimeable number, because it can be changed into a prime (385351) 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, 867 + ... + 1233.

It is an arithmetic number, because the mean of its divisors is an integer number (22816).

2³⁸⁵³⁵⁰ is an apocalyptic number.

385350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 385350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547584).

385350 is an abundant number, since it is smaller than the sum of its proper divisors (709818).

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

385350 is a wasteful number, since it uses less digits than its factorization.

385350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 385350 is about 620.7656562665. The cubic root of 385350 is about 72.7699016182.

The spelling of 385350 in words is "three hundred eighty-five thousand, three hundred fifty".