385500 has 48 divisors (see below), whose sum is σ = 1126944. Its totient is φ = 102400.

The previous prime is 385493. The next prime is 385501. The reversal of 385500 is 5583.

385500 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-2 number, since 2×385500² = 297220500000, which contains 22 as substring.

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 385500.

It is not an unprimeable number, because it can be changed into a prime (385501) by changing a digit.

385500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 1372 + ... + 1628.

It is an arithmetic number, because the mean of its divisors is an integer number (23478).

2³⁸⁵⁵⁰⁰ is an apocalyptic number.

385500 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 385500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563472).

385500 is an abundant number, since it is smaller than the sum of its proper divisors (741444).

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

385500 is a wasteful number, since it uses less digits than its factorization.

385500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 385500 is about 620.8864630510. The cubic root of 385500 is about 72.7793424462.

The spelling of 385500 in words is "three hundred eighty-five thousand, five hundred".