516808840 has 64 divisors (see below), whose sum is σ = 1234051200. Its totient is φ = 194116608.

The previous prime is 516808807. The next prime is 516808871. The reversal of 516808840 is 48808615.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 516808793 and 516808802.

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, 561901 + ... + 562819.

It is an arithmetic number, because the mean of its divisors is an integer number (19282050).

Almost surely, 2^516808840 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 516808840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617025600).

516808840 is an abundant number, since it is smaller than the sum of its proper divisors (717242360).

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

516808840 is a wasteful number, since it uses less digits than its factorization.

516808840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 516808840 is about 22733.4300095696. The cubic root of 516808840 is about 802.4968035250.

The spelling of 516808840 in words is "five hundred sixteen million, eight hundred eight thousand, eight hundred forty".