508051680 has 96 divisors (see below), whose sum is σ = 1603476000. Its totient is φ = 135217152.

The previous prime is 508051657. The next prime is 508051703. The reversal of 508051680 is 86150805.

It is an interprime number because it is at equal distance from previous prime (508051657) and next prime (508051703).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483796 + ... + 484844.

It is an arithmetic number, because the mean of its divisors is an integer number (16702875).

Almost surely, 2^508051680 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 508051680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801738000).

508051680 is an abundant number, since it is smaller than the sum of its proper divisors (1095424320).

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

508051680 is a wasteful number, since it uses less digits than its factorization.

508051680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 508051680 is about 22540.0017746228. The cubic root of 508051680 is about 797.9382745078.

The spelling of 508051680 in words is "five hundred eight million, fifty-one thousand, six hundred eighty".