385232085 has 64 divisors (see below), whose sum is σ = 809740800. Its totient is φ = 170021376.

The previous prime is 385232059. The next prime is 385232117. The reversal of 385232085 is 580232583.

385232085 is a `hidden beast` number, since 38 + 523 + 20 + 85 = 666.

It is not a de Polignac number, because 385232085 - 2⁹ = 385231573 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20377 + ... + 34433.

It is an arithmetic number, because the mean of its divisors is an integer number (12652200).

Almost surely, 2^385232085 is an apocalyptic number.

385232085 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

385232085 is an abundant number, since it is smaller than the sum of its proper divisors (424508715).

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

385232085 is a wasteful number, since it uses less digits than its factorization.

385232085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14107 (or 14101 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 385232085 is about 19627.3300527606. The cubic root of 385232085 is about 727.6247846318.

It can be divided in two parts, 3852 and 32085, that added together give a cube (35937 = 33³).

The spelling of 385232085 in words is "three hundred eighty-five million, two hundred thirty-two thousand, eighty-five".