385900 has 36 divisors (see below), whose sum is σ = 890568. Its totient is φ = 144640.

The previous prime is 385897. The next prime is 385901. The reversal of 385900 is 9583.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (385901) 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 11 ways as a sum of consecutive naturals, for example, 1587 + ... + 1813.

It is an arithmetic number, because the mean of its divisors is an integer number (24738).

2³⁸⁵⁹⁰⁰ 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 385900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445284).

385900 is an abundant number, since it is smaller than the sum of its proper divisors (504668).

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

385900 is a wasteful number, since it uses less digits than its factorization.

385900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 385900 is about 621.2084996199. The cubic root of 385900 is about 72.8045060207.

The spelling of 385900 in words is "three hundred eighty-five thousand, nine hundred".