385267504 has 20 divisors (see below), whose sum is σ = 770536000. Its totient is φ = 186419520.

The previous prime is 385267469. The next prime is 385267543. The reversal of 385267504 is 405762583.

385267504 is an admirable 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 3 ways as a sum of consecutive naturals, for example, 387879 + ... + 388870.

It is an arithmetic number, because the mean of its divisors is an integer number (38526800).

Almost surely, 2^385267504 is an apocalyptic number.

It is an amenable number.

385267504 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

385267504 is a wasteful number, since it uses less digits than its factorization.

385267504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776788 (or 776782 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 385267504 is about 19628.2323197989. The cubic root of 385267504 is about 727.6470837025.

The spelling of 385267504 in words is "three hundred eighty-five million, two hundred sixty-seven thousand, five hundred four".