385064505 has 48 divisors (see below), whose sum is σ = 795974400. Its totient is φ = 168372864.

The previous prime is 385064461. The next prime is 385064509. The reversal of 385064505 is 505460583.

385064505 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 645 + 0 + 5 = 666.

It is not a de Polignac number, because 385064505 - 2⁹ = 385063993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 385064505.

It is not an unprimeable number, because it can be changed into a prime (385064509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19330 + ... + 33819.

It is an arithmetic number, because the mean of its divisors is an integer number (16582800).

Almost surely, 2^385064505 is an apocalyptic number.

385064505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

385064505 is an abundant number, since it is smaller than the sum of its proper divisors (410909895).

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

385064505 is a wasteful number, since it uses less digits than its factorization.

385064505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53190 (or 53187 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 385064505 is about 19623.0605411083. The cubic root of 385064505 is about 727.5192611898.

The spelling of 385064505 in words is "three hundred eighty-five million, sixty-four thousand, five hundred five".