508384947 has 24 divisors (see below), whose sum is σ = 805303296. Its totient is φ = 284320848.

The previous prime is 508384909. The next prime is 508384973. The reversal of 508384947 is 749483805.

It is not a de Polignac number, because 508384947 - 2¹⁰ = 508383923 is a prime.

It is a super-4 number, since 4×508384947⁴ (a number of 36 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 508384896 and 508384905.

It is not an unprimeable number, because it can be changed into a prime (508384147) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 29883 + ... + 43700.

It is an arithmetic number, because the mean of its divisors is an integer number (33554304).

Almost surely, 2^508384947 is an apocalyptic number.

508384947 is a deficient number, since it is larger than the sum of its proper divisors (296918349).

508384947 is a wasteful number, since it uses less digits than its factorization.

508384947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73647 (or 73640 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 508384947 is about 22547.3933526694. The cubic root of 508384947 is about 798.1127110726.

The spelling of 508384947 in words is "five hundred eight million, three hundred eighty-four thousand, nine hundred forty-seven".