516723840 has 256 divisors, whose sum is σ = 1938816000. Its totient is φ = 129613824.

The previous prime is 516723821. The next prime is 516723847. The reversal of 516723840 is 48327615.

516723840 is a `hidden beast` number, since 516 + 72 + 38 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 516723795 and 516723804.

It is not an unprimeable number, because it can be changed into a prime (516723847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292881 + ... + 294639.

It is an arithmetic number, because the mean of its divisors is an integer number (7573500).

Almost surely, 2^516723840 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 516723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969408000).

516723840 is an abundant number, since it is smaller than the sum of its proper divisors (1422092160).

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

516723840 is a wasteful number, since it uses less digits than its factorization.

516723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 516723840 is about 22731.5604391779. The cubic root of 516723840 is about 802.4528053301.

The spelling of 516723840 in words is "five hundred sixteen million, seven hundred twenty-three thousand, eight hundred forty".