385700 has 72 divisors (see below), whose sum is σ = 1041600. Its totient is φ = 120960.

The previous prime is 385663. The next prime is 385709. The reversal of 385700 is 7583.

385700 = 112² + 113² + ... + 136².

385700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 385700.

It is not an unprimeable number, because it can be changed into a prime (385709) by changing a digit.

385700 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 23 ways as a sum of consecutive naturals, for example, 13286 + ... + 13314.

2³⁸⁵⁷⁰⁰ 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 385700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520800).

385700 is an abundant number, since it is smaller than the sum of its proper divisors (655900).

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

385700 is a wasteful number, since it uses less digits than its factorization.

385700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 385700 is about 621.0475022090. The cubic root of 385700 is about 72.7919264081.

The spelling of 385700 in words is "three hundred eighty-five thousand, seven hundred".