385110800 has 60 divisors (see below), whose sum is σ = 950271396. Its totient is φ = 149875200.

The previous prime is 385110797. The next prime is 385110811. The reversal of 385110800 is 8011583.

It can be written as a sum of positive squares in 6 ways, for example, as 62980096 + 322130704 = 7936^2 + 17948^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 385110800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1790 + ... + 27810.

Almost surely, 2^385110800 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 385110800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475135698).

385110800 is an abundant number, since it is smaller than the sum of its proper divisors (565160596).

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

385110800 is a wasteful number, since it uses less digits than its factorization.

385110800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26076 (or 26065 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 385110800 is about 19624.2401126770. The cubic root of 385110800 is about 727.5484157463.

The spelling of 385110800 in words is "three hundred eighty-five million, one hundred ten thousand, eight hundred".