385049808 has 320 divisors, whose sum is σ = 1359912960. Its totient is φ = 102643200.

The previous prime is 385049773. The next prime is 385049837. The reversal of 385049808 is 808940583.

385049808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1420713 + ... + 1420983.

It is an arithmetic number, because the mean of its divisors is an integer number (4249728).

Almost surely, 2^385049808 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 385049808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679956480).

385049808 is an abundant number, since it is smaller than the sum of its proper divisors (974863152).

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

385049808 is a wasteful number, since it uses less digits than its factorization.

385049808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 385049808 is about 19622.6860546664. The cubic root of 385049808 is about 727.5100051765.

The spelling of 385049808 in words is "three hundred eighty-five million, forty-nine thousand, eight hundred eight".