516411360 has 144 divisors (see below), whose sum is σ = 1791447840. Its totient is φ = 135429120.

The previous prime is 516411353. The next prime is 516411407. The reversal of 516411360 is 63114615.

516411360 is a `hidden beast` number, since 5 + 1 + 641 + 13 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84901 + ... + 90779.

It is an arithmetic number, because the mean of its divisors is an integer number (12440610).

Almost surely, 2^516411360 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 516411360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895723920).

516411360 is an abundant number, since it is smaller than the sum of its proper divisors (1275036480).

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

516411360 is a wasteful number, since it uses less digits than its factorization.

516411360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5961 (or 5950 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 516411360 is about 22724.6861364464. The cubic root of 516411360 is about 802.2910161267.

Adding to 516411360 its reverse (63114615), we get a palindrome (579525975).

The spelling of 516411360 in words is "five hundred sixteen million, four hundred eleven thousand, three hundred sixty".