385608820 has 48 divisors (see below), whose sum is σ = 834261120. Its totient is φ = 149606784.

The previous prime is 385608767. The next prime is 385608859. The reversal of 385608820 is 28806583.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324267 + ... + 325453.

It is an arithmetic number, because the mean of its divisors is an integer number (17380440).

Almost surely, 2^385608820 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 385608820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417130560).

385608820 is an abundant number, since it is smaller than the sum of its proper divisors (448652300).

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

385608820 is a wasteful number, since it uses less digits than its factorization.

385608820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 385608820 is about 19636.9249120121. The cubic root of 385608820 is about 727.8618991955.

The spelling of 385608820 in words is "three hundred eighty-five million, six hundred eight thousand, eight hundred twenty".