516979008 has 252 divisors, whose sum is σ = 1857672180. Its totient is φ = 136249344.

The previous prime is 516979007. The next prime is 516979019. The reversal of 516979008 is 800979615.

It can be written as a sum of positive squares in 2 ways, for example, as 32626944 + 484352064 = 5712^2 + 22008^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516979003) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 366208 + ... + 367616.

It is an arithmetic number, because the mean of its divisors is an integer number (7371715).

Almost surely, 2^516979008 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 516979008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928836090).

516979008 is an abundant number, since it is smaller than the sum of its proper divisors (1340693172).

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

516979008 is a wasteful number, since it uses less digits than its factorization.

516979008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 516979008 is about 22737.1723835661. The cubic root of 516979008 is about 802.5848723815.

The spelling of 516979008 in words is "five hundred sixteen million, nine hundred seventy-nine thousand, eight".