516743712 has 240 divisors, whose sum is σ = 1609977600. Its totient is φ = 162362880.

The previous prime is 516743657. The next prime is 516743719. The reversal of 516743712 is 217347615.

It is a happy number.

516743712 is a `hidden beast` number, since 516 + 74 + 3 + 71 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (516743719) 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 39 ways as a sum of consecutive naturals, for example, 4740714 + ... + 4740822.

It is an arithmetic number, because the mean of its divisors is an integer number (6708240).

Almost surely, 2^516743712 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 516743712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804988800).

516743712 is an abundant number, since it is smaller than the sum of its proper divisors (1093233888).

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

516743712 is a wasteful number, since it uses less digits than its factorization.

516743712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 204 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 516743712 is about 22731.9975365123. The cubic root of 516743712 is about 802.4630920226.

The spelling of 516743712 in words is "five hundred sixteen million, seven hundred forty-three thousand, seven hundred twelve".