516388644 has 36 divisors (see below), whose sum is σ = 1307926620. Its totient is φ = 171785280.

The previous prime is 516388633. The next prime is 516388657. The reversal of 516388644 is 446883615.

516388644 is a `hidden beast` number, since 5 + 1 + 638 + 8 + 6 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 447830244 + 68558400 = 21162^2 + 8280^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 516388644.

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 11 ways as a sum of consecutive naturals, for example, 4234 + ... + 32414.

It is an arithmetic number, because the mean of its divisors is an integer number (36331295).

Almost surely, 2^516388644 is an apocalyptic number.

It is an amenable number.

516388644 is an abundant number, since it is smaller than the sum of its proper divisors (791537976).

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

516388644 is a wasteful number, since it uses less digits than its factorization.

516388644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28700 (or 28695 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 516388644 is about 22724.1863220666. The cubic root of 516388644 is about 802.2792521782.

The spelling of 516388644 in words is "five hundred sixteen million, three hundred eighty-eight thousand, six hundred forty-four".