508704768 has 288 divisors, whose sum is σ = 1735035120. Its totient is φ = 141557760.

The previous prime is 508704767. The next prime is 508704797. The reversal of 508704768 is 867407805.

508704768 is a `hidden beast` number, since 508 + 70 + 4 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508704767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2635680 + ... + 2635872.

Almost surely, 2^508704768 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 508704768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867517560).

508704768 is an abundant number, since it is smaller than the sum of its proper divisors (1226330352).

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

508704768 is a wasteful number, since it uses less digits than its factorization.

508704768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 508704768 is about 22554.4844321479. The cubic root of 508704768 is about 798.2800381474.

The spelling of 508704768 in words is "five hundred eight million, seven hundred four thousand, seven hundred sixty-eight".