385842200 has 96 divisors (see below), whose sum is σ = 955586160. Its totient is φ = 144384000.

The previous prime is 385842169. The next prime is 385842209. The reversal of 385842200 is 2248583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385842209) 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, 962000 + ... + 962400.

Almost surely, 2^385842200 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 385842200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477793080).

385842200 is an abundant number, since it is smaller than the sum of its proper divisors (569743960).

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

385842200 is a wasteful number, since it uses less digits than its factorization.

385842200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 385842200 is about 19642.8663896082. The cubic root of 385842200 is about 728.0087095927.

The spelling of 385842200 in words is "three hundred eighty-five million, eight hundred forty-two thousand, two hundred".