508578560 has 144 divisors (see below), whose sum is σ = 1437929472. Its totient is φ = 168652800.

The previous prime is 508578557. The next prime is 508578563. The reversal of 508578560 is 65875805.

It is an interprime number because it is at equal distance from previous prime (508578557) and next prime (508578563).

It is not an unprimeable number, because it can be changed into a prime (508578563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276845 + ... + 278675.

Almost surely, 2^508578560 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 508578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718964736).

508578560 is an abundant number, since it is smaller than the sum of its proper divisors (929350912).

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

508578560 is a wasteful number, since it uses less digits than its factorization.

508578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 44.

The square root of 508578560 is about 22551.6864114416. The cubic root of 508578560 is about 798.2140157926.

The spelling of 508578560 in words is "five hundred eight million, five hundred seventy-eight thousand, five hundred sixty".