385520408 has 64 divisors (see below), whose sum is σ = 895594560. Its totient is φ = 151497216.

The previous prime is 385520383. The next prime is 385520419. The reversal of 385520408 is 804025583.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112610 + ... + 115982.

It is an arithmetic number, because the mean of its divisors is an integer number (13993665).

Almost surely, 2^385520408 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 385520408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447797280).

385520408 is an abundant number, since it is smaller than the sum of its proper divisors (510074152).

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

385520408 is a wasteful number, since it uses less digits than its factorization.

385520408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 385520408 is about 19634.6736158257. The cubic root of 385520408 is about 727.8062671304.

The spelling of 385520408 in words is "three hundred eighty-five million, five hundred twenty thousand, four hundred eight".