516564384 has 96 divisors (see below), whose sum is σ = 1554973056. Its totient is φ = 147087360.

The previous prime is 516564379. The next prime is 516564403. The reversal of 516564384 is 483465615.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 225324 + ... + 227604.

It is an arithmetic number, because the mean of its divisors is an integer number (16197636).

Almost surely, 2^516564384 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 516564384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777486528).

516564384 is an abundant number, since it is smaller than the sum of its proper divisors (1038408672).

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

516564384 is a wasteful number, since it uses less digits than its factorization.

516564384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2630 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 516564384 is about 22728.0527982491. The cubic root of 516564384 is about 802.3702537691.

The spelling of 516564384 in words is "five hundred sixteen million, five hundred sixty-four thousand, three hundred eighty-four".