516966480 has 120 divisors (see below), whose sum is σ = 1753581960. Its totient is φ = 136473600.

The previous prime is 516966451. The next prime is 516966491. The reversal of 516966480 is 84669615.

516966480 is a `hidden beast` number, since 5 + 169 + 6 + 6 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 84492864 + 432473616 = 9192^2 + 20796^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69166 + ... + 76274.

It is an arithmetic number, because the mean of its divisors is an integer number (14613183).

Almost surely, 2^516966480 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 516966480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876790980).

516966480 is an abundant number, since it is smaller than the sum of its proper divisors (1236615480).

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

516966480 is a wasteful number, since it uses less digits than its factorization.

516966480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7229 (or 7220 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 516966480 is about 22736.8968858989. The cubic root of 516966480 is about 802.5783892914.

The spelling of 516966480 in words is "five hundred sixteen million, nine hundred sixty-six thousand, four hundred eighty".