516291360 has 384 divisors, whose sum is σ = 1926457344. Its totient is φ = 115015680.

The previous prime is 516291353. The next prime is 516291361. The reversal of 516291360 is 63192615.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (516291361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3288402 + ... + 3288558.

It is an arithmetic number, because the mean of its divisors is an integer number (5016816).

Almost surely, 2^516291360 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 516291360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963228672).

516291360 is an abundant number, since it is smaller than the sum of its proper divisors (1410165984).

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

516291360 is a wasteful number, since it uses less digits than its factorization.

516291360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 516291360 is about 22722.0456825524. The cubic root of 516291360 is about 802.2288677520.

The spelling of 516291360 in words is "five hundred sixteen million, two hundred ninety-one thousand, three hundred sixty".