385055800 has 48 divisors (see below), whose sum is σ = 899205840. Its totient is φ = 153342720.

The previous prime is 385055789. The next prime is 385055807. The reversal of 385055800 is 8550583.

It is a super-3 number, since 3×385055800³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385055807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42469 + ... + 50731.

It is an arithmetic number, because the mean of its divisors is an integer number (18733455).

Almost surely, 2^385055800 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 385055800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449602920).

385055800 is an abundant number, since it is smaller than the sum of its proper divisors (514150040).

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

385055800 is a wasteful number, since it uses less digits than its factorization.

385055800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8512 (or 8503 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The square root of 385055800 is about 19622.8387344951. The cubic root of 385055800 is about 727.5137789024.

The spelling of 385055800 in words is "three hundred eighty-five million, fifty-five thousand, eight hundred".