385008 has 40 divisors (see below), whose sum is σ = 1072848. Its totient is φ = 118272.

The previous prime is 385001. The next prime is 385013. The reversal of 385008 is 800583.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385001) by changing a digit.

385008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316 + ... + 932.

2³⁸⁵⁰⁰⁸ 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 385008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536424).

385008 is an abundant number, since it is smaller than the sum of its proper divisors (687840).

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

385008 is a wasteful number, since it uses less digits than its factorization.

385008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 385008 is about 620.4901288498. The cubic root of 385008 is about 72.7483673657.

The spelling of 385008 in words is "three hundred eighty-five thousand, eight".