507368385 has 48 divisors (see below), whose sum is σ = 921068928. Its totient is φ = 257875200.

The previous prime is 507368353. The next prime is 507368443. The reversal of 507368385 is 583863705.

507368385 is a `hidden beast` number, since 507 + 3 + 68 + 3 + 85 = 666.

It is not a de Polignac number, because 507368385 - 2⁵ = 507368353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 507368385.

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 47 ways as a sum of consecutive naturals, for example, 341845 + ... + 343325.

It is an arithmetic number, because the mean of its divisors is an integer number (19188936).

Almost surely, 2^507368385 is an apocalyptic number.

It is an amenable number.

507368385 is a deficient number, since it is larger than the sum of its proper divisors (413700543).

507368385 is a wasteful number, since it uses less digits than its factorization.

507368385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 507368385 is about 22524.8392891048. The cubic root of 507368385 is about 797.5803897566.

The spelling of 507368385 in words is "five hundred seven million, three hundred sixty-eight thousand, three hundred eighty-five".