508394880 has 384 divisors, whose sum is σ = 2085108480. Its totient is φ = 115955712.

The previous prime is 508394879. The next prime is 508394899. The reversal of 508394880 is 88493805.

It is a tau number, because it is divible by the number of its divisors (384).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1088407 + ... + 1088873.

It is an arithmetic number, because the mean of its divisors is an integer number (5429970).

Almost surely, 2^508394880 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 508394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042554240).

508394880 is an abundant number, since it is smaller than the sum of its proper divisors (1576713600).

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

508394880 is an equidigital number, since it uses as much as digits as its factorization.

508394880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 508394880 is about 22547.6136209578. The cubic root of 508394880 is about 798.1179089724.

The spelling of 508394880 in words is "five hundred eight million, three hundred ninety-four thousand, eight hundred eighty".