508006800 has 360 divisors, whose sum is σ = 2122810560. Its totient is φ = 109900800.

The previous prime is 508006777. The next prime is 508006813. The reversal of 508006800 is 8600805.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 478270 + ... + 479330.

It is an arithmetic number, because the mean of its divisors is an integer number (5896696).

Almost surely, 2^508006800 is an apocalyptic number.

508006800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508006800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061405280).

508006800 is an abundant number, since it is smaller than the sum of its proper divisors (1614803760).

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

508006800 is a wasteful number, since it uses less digits than its factorization.

508006800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 508006800 is about 22539.0061892711. The cubic root of 508006800 is about 797.9147778665.

It can be divided in two parts, 50800 and 6800, that added together give a square (57600 = 240²).

The spelling of 508006800 in words is "five hundred eight million, six thousand, eight hundred".