516589920 has 384 divisors, whose sum is σ = 2255662080. Its totient is φ = 107274240.

The previous prime is 516589903. The next prime is 516589939. The reversal of 516589920 is 29985615.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 331864 + ... + 333416.

It is an arithmetic number, because the mean of its divisors is an integer number (5874120).

Almost surely, 2^516589920 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 516589920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127831040).

516589920 is an abundant number, since it is smaller than the sum of its proper divisors (1739072160).

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

516589920 is a wasteful number, since it uses less digits than its factorization.

516589920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 516589920 is about 22728.6145640248. The cubic root of 516589920 is about 802.3834750892.

The spelling of 516589920 in words is "five hundred sixteen million, five hundred eighty-nine thousand, nine hundred twenty".