385395648 has 168 divisors, whose sum is σ = 1145615184. Its totient is φ = 114216960.

The previous prime is 385395623. The next prime is 385395671. The reversal of 385395648 is 846593583.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 385395648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1231140 + ... + 1231452.

It is an arithmetic number, because the mean of its divisors is an integer number (6819138).

Almost surely, 2^385395648 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 385395648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572807592).

385395648 is an abundant number, since it is smaller than the sum of its proper divisors (760219536).

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

385395648 is a wasteful number, since it uses less digits than its factorization.

385395648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 382 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 51.

The square root of 385395648 is about 19631.4963260573. The cubic root of 385395648 is about 727.7277491024.

The spelling of 385395648 in words is "three hundred eighty-five million, three hundred ninety-five thousand, six hundred forty-eight".