517009680 has 240 divisors, whose sum is σ = 1960320960. Its totient is φ = 120960000.

The previous prime is 517009679. The next prime is 517009699. The reversal of 517009680 is 86900715.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 228555 + ... + 230805.

It is an arithmetic number, because the mean of its divisors is an integer number (8168004).

Almost surely, 2^517009680 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 517009680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980160480).

517009680 is an abundant number, since it is smaller than the sum of its proper divisors (1443311280).

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

517009680 is a wasteful number, since it uses less digits than its factorization.

517009680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 517009680 is about 22737.8468637644. The cubic root of 517009680 is about 802.6007443324.

The spelling of 517009680 in words is "five hundred seventeen million, nine thousand, six hundred eighty".