508447368 has 384 divisors, whose sum is σ = 1761177600. Its totient is φ = 135302400.

The previous prime is 508447327. The next prime is 508447393. The reversal of 508447368 is 863744805.

It is a super-2 number, since 2×508447368² = 517037452052254848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 8617723 + ... + 8617781.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2^508447368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508447368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880588800).

508447368 is an abundant number, since it is smaller than the sum of its proper divisors (1252730232).

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

508447368 is a wasteful number, since it uses less digits than its factorization.

508447368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 508447368 is about 22548.7775278395. Note that the first 3 decimals coincide. The cubic root of 508447368 is about 798.1453746117.

The spelling of 508447368 in words is "five hundred eight million, four hundred forty-seven thousand, three hundred sixty-eight".