385908000 has 96 divisors (see below), whose sum is σ = 1264273920. Its totient is φ = 102905600.

The previous prime is 385907989. The next prime is 385908013. The reversal of 385908000 is 809583.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4080 + ... + 28079.

It is an arithmetic number, because the mean of its divisors is an integer number (13169520).

Almost surely, 2^385908000 is an apocalyptic number.

385908000 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 385908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632136960).

385908000 is an abundant number, since it is smaller than the sum of its proper divisors (878365920).

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

385908000 is a wasteful number, since it uses less digits than its factorization.

385908000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32187 (or 32169 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 385908000 is about 19644.5412265087. The cubic root of 385908000 is about 728.0500911474.

The spelling of 385908000 in words is "three hundred eighty-five million, nine hundred eight thousand".