385802505 has 144 divisors (see below), whose sum is σ = 821643264. Its totient is φ = 165473280.

The previous prime is 385802503. The next prime is 385802563. The reversal of 385802505 is 505208583.

It is not a de Polignac number, because 385802505 - 2¹ = 385802503 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 385802505.

It is not an unprimeable number, because it can be changed into a prime (385802503) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3037752 + ... + 3037878.

It is an arithmetic number, because the mean of its divisors is an integer number (5705856).

Almost surely, 2^385802505 is an apocalyptic number.

It is an amenable number.

385802505 is an abundant number, since it is smaller than the sum of its proper divisors (435840759).

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

385802505 is a wasteful number, since it uses less digits than its factorization.

385802505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 385802505 is about 19641.8559459131. The cubic root of 385802505 is about 727.9837431714.

The spelling of 385802505 in words is "three hundred eighty-five million, eight hundred two thousand, five hundred five".