385961856 has 128 divisors (see below), whose sum is σ = 1181241600. Its totient is φ = 109375488.

The previous prime is 385961831. The next prime is 385961857. The reversal of 385961856 is 658169583.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 385961799 and 385961808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385961857) 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 15 ways as a sum of consecutive naturals, for example, 373116 + ... + 374148.

It is an arithmetic number, because the mean of its divisors is an integer number (9228450).

Almost surely, 2^385961856 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 385961856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590620800).

385961856 is an abundant number, since it is smaller than the sum of its proper divisors (795279744).

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

385961856 is a wasteful number, since it uses less digits than its factorization.

385961856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1184 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 51.

The square root of 385961856 is about 19645.9119411648. The cubic root of 385961856 is about 728.0839576318.

The spelling of 385961856 in words is "three hundred eighty-five million, nine hundred sixty-one thousand, eight hundred fifty-six".