385882200 has 144 divisors (see below), whose sum is σ = 1413804600. Its totient is φ = 93542400.

The previous prime is 385882193. The next prime is 385882223. The reversal of 385882200 is 2288583.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10056 + ... + 29544.

Almost surely, 2^385882200 is an apocalyptic number.

385882200 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 385882200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706902300).

385882200 is an abundant number, since it is smaller than the sum of its proper divisors (1027922400).

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

385882200 is a wasteful number, since it uses less digits than its factorization.

385882200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19522 (or 19510 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 385882200 is about 19643.8845445599. The cubic root of 385882200 is about 728.0338661136.

The spelling of 385882200 in words is "three hundred eighty-five million, eight hundred eighty-two thousand, two hundred".