508243680 has 336 divisors, whose sum is σ = 2075325840. Its totient is φ = 116169984.

The previous prime is 508243669. The next prime is 508243721. The reversal of 508243680 is 86342805.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 72606237 + ... + 72606243.

It is an arithmetic number, because the mean of its divisors is an integer number (6176565).

Almost surely, 2^508243680 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 508243680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037662920).

508243680 is an abundant number, since it is smaller than the sum of its proper divisors (1567082160).

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

508243680 is an frugal number, since it uses more digits than its factorization.

508243680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 508243680 is about 22544.2604669126. The cubic root of 508243680 is about 798.0387792789.

The spelling of 508243680 in words is "five hundred eight million, two hundred forty-three thousand, six hundred eighty".