385358120 has 64 divisors (see below), whose sum is σ = 994878720. Its totient is φ = 131595264.

The previous prime is 385358111. The next prime is 385358143. The reversal of 385358120 is 21853583.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 71024 + ... + 76256.

It is an arithmetic number, because the mean of its divisors is an integer number (15544980).

Almost surely, 2^385358120 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 385358120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497439360).

385358120 is an abundant number, since it is smaller than the sum of its proper divisors (609520600).

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

385358120 is a wasteful number, since it uses less digits than its factorization.

385358120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5514 (or 5510 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 385358120 is about 19630.5404917949. The cubic root of 385358120 is about 727.7041274437.

The spelling of 385358120 in words is "three hundred eighty-five million, three hundred fifty-eight thousand, one hundred twenty".