504768385 has 8 divisors (see below), whose sum is σ = 660787776. Its totient is φ = 367104240.

The previous prime is 504768377. The next prime is 504768413. The reversal of 504768385 is 583867405.

504768385 = 3895² + 3896² + ... + 3927².

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 504768385 - 2³ = 504768377 is a prime.

It is a super-2 number, since 2×504768385² = 509582244991016450, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4588749 + ... + 4588858.

It is an arithmetic number, because the mean of its divisors is an integer number (82598472).

Almost surely, 2^504768385 is an apocalyptic number.

504768385 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

504768385 is a deficient number, since it is larger than the sum of its proper divisors (156019391).

504768385 is a wasteful number, since it uses less digits than its factorization.

504768385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9177623.

The product of its (nonzero) digits is 806400, while the sum is 46.

The square root of 504768385 is about 22467.0510971066. The cubic root of 504768385 is about 796.2156605501.

The spelling of 504768385 in words is "five hundred four million, seven hundred sixty-eight thousand, three hundred eighty-five".