385210848 has 96 divisors (see below), whose sum is σ = 1133032320. Its totient is φ = 113564160.

The previous prime is 385210843. The next prime is 385210933. The reversal of 385210848 is 848012583.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385210843) 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 15 ways as a sum of consecutive naturals, for example, 34143 + ... + 44001.

It is an arithmetic number, because the mean of its divisors is an integer number (11802420).

Almost surely, 2^385210848 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 385210848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566516160).

385210848 is an abundant number, since it is smaller than the sum of its proper divisors (747821472).

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

385210848 is a wasteful number, since it uses less digits than its factorization.

385210848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9920 (or 9912 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 385210848 is about 19626.7890394736. The cubic root of 385210848 is about 727.6114135999.

The spelling of 385210848 in words is "three hundred eighty-five million, two hundred ten thousand, eight hundred forty-eight".