508985280 has 168 divisors, whose sum is σ = 1807488384. Its totient is φ = 131328000.

The previous prime is 508985237. The next prime is 508985291. The reversal of 508985280 is 82589805.

508985280 is a `hidden beast` number, since 508 + 98 + 52 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86430 + ... + 92130.

Almost surely, 2^508985280 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 508985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903744192).

508985280 is an abundant number, since it is smaller than the sum of its proper divisors (1298503104).

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

508985280 is a wasteful number, since it uses less digits than its factorization.

508985280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5755 (or 5742 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 508985280 is about 22560.7021167339. The cubic root of 508985280 is about 798.4267414333.

The spelling of 508985280 in words is "five hundred eight million, nine hundred eighty-five thousand, two hundred eighty".