508485648 has 80 divisors (see below), whose sum is σ = 1444478976. Its totient is φ = 152853120.

The previous prime is 508485647. The next prime is 508485667. The reversal of 508485648 is 846584805.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 508485597 and 508485606.

It is not an unprimeable number, because it can be changed into a prime (508485647) 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, 63265 + ... + 70847.

Almost surely, 2^508485648 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 508485648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722239488).

508485648 is an abundant number, since it is smaller than the sum of its proper divisors (935993328).

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

508485648 is a wasteful number, since it uses less digits than its factorization.

508485648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7732 (or 7726 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The square root of 508485648 is about 22549.6263383676. The cubic root of 508485648 is about 798.1654043730.

The spelling of 508485648 in words is "five hundred eight million, four hundred eighty-five thousand, six hundred forty-eight".