516705480 has 384 divisors, whose sum is σ = 1910563200. Its totient is φ = 125079552.

The previous prime is 516705479. The next prime is 516705487. The reversal of 516705480 is 84507615.

516705480 is a `hidden beast` number, since 51 + 67 + 0 + 548 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (516705487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8757691 + ... + 8757749.

It is an arithmetic number, because the mean of its divisors is an integer number (4975425).

Almost surely, 2^516705480 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 516705480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955281600).

516705480 is an abundant number, since it is smaller than the sum of its proper divisors (1393857720).

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

516705480 is a wasteful number, since it uses less digits than its factorization.

516705480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 516705480 is about 22731.1565917795. The cubic root of 516705480 is about 802.4433010863.

The spelling of 516705480 in words is "five hundred sixteen million, seven hundred five thousand, four hundred eighty".