516352740 has 144 divisors (see below), whose sum is σ = 1577157120. Its totient is φ = 126074880.

The previous prime is 516352717. The next prime is 516352751. The reversal of 516352740 is 47253615.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 671076 + ... + 671844.

It is an arithmetic number, because the mean of its divisors is an integer number (10952480).

Almost surely, 2^516352740 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 516352740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788578560).

516352740 is an abundant number, since it is smaller than the sum of its proper divisors (1060804380).

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

516352740 is a wasteful number, since it uses less digits than its factorization.

516352740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 516352740 is about 22723.3963130514. The cubic root of 516352740 is about 802.2606578486.

The spelling of 516352740 in words is "five hundred sixteen million, three hundred fifty-two thousand, seven hundred forty".