516418560 has 264 divisors, whose sum is σ = 2046279456. Its totient is φ = 117964800.

The previous prime is 516418559. The next prime is 516418577. The reversal of 516418560 is 65814615.

516418560 is a `hidden beast` number, since 5 + 1 + 641 + 8 + 5 + 6 + 0 = 666.

It is a super-2 number, since 2×516418560² = 533376258224947200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 321760 + ... + 323360.

Almost surely, 2^516418560 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 516418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023139728).

516418560 is an abundant number, since it is smaller than the sum of its proper divisors (1529860896).

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

516418560 is a wasteful number, since it uses less digits than its factorization.

516418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 516418560 is about 22724.8445539238. The cubic root of 516418560 is about 802.2947447230.

The spelling of 516418560 in words is "five hundred sixteen million, four hundred eighteen thousand, five hundred sixty".