508488960 has 144 divisors (see below), whose sum is σ = 1856082816. Its totient is φ = 116219904.

The previous prime is 508488941. The next prime is 508488961. The reversal of 508488960 is 69884805.

It is a super-2 number, since 2×508488960² = 517122044883763200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508488961) 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, 17422 + ... + 36338.

It is an arithmetic number, because the mean of its divisors is an integer number (12889464).

Almost surely, 2^508488960 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 508488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928041408).

508488960 is an abundant number, since it is smaller than the sum of its proper divisors (1347593856).

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

508488960 is a wasteful number, since it uses less digits than its factorization.

508488960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18948 (or 18934 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 508488960 is about 22549.6997762720. The cubic root of 508488960 is about 798.1671373082.

The spelling of 508488960 in words is "five hundred eight million, four hundred eighty-eight thousand, nine hundred sixty".