516071424 has 224 divisors, whose sum is σ = 1585350144. Its totient is φ = 147783680.

The previous prime is 516071399. The next prime is 516071471. The reversal of 516071424 is 424170615.

It is a junction number, because it is equal to n+sod(n) for n = 516071391 and 516071400.

It is a congruent number.

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, 6217687 + ... + 6217769.

It is an arithmetic number, because the mean of its divisors is an integer number (7077456).

Almost surely, 2^516071424 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 516071424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792675072).

516071424 is an abundant number, since it is smaller than the sum of its proper divisors (1069278720).

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

516071424 is a wasteful number, since it uses less digits than its factorization.

516071424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 516071424 is about 22717.2054619401. The cubic root of 516071424 is about 802.1149372070.

The spelling of 516071424 in words is "five hundred sixteen million, seventy-one thousand, four hundred twenty-four".