385962800 has 60 divisors (see below), whose sum is σ = 935591160. Its totient is φ = 153000960.

The previous prime is 385962791. The next prime is 385962809. The reversal of 385962800 is 8269583.

It is an interprime number because it is at equal distance from previous prime (385962791) and next prime (385962809).

It is not an unprimeable number, because it can be changed into a prime (385962809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40931 + ... + 49469.

It is an arithmetic number, because the mean of its divisors is an integer number (15593186).

Almost surely, 2^385962800 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 385962800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467795580).

385962800 is an abundant number, since it is smaller than the sum of its proper divisors (549628360).

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

385962800 is a wasteful number, since it uses less digits than its factorization.

385962800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8670 (or 8659 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 385962800 is about 19645.9359665046. The cubic root of 385962800 is about 728.0845512230.

The spelling of 385962800 in words is "three hundred eighty-five million, nine hundred sixty-two thousand, eight hundred".