516560460 has 192 divisors, whose sum is σ = 1612154880. Its totient is φ = 122803200.

The previous prime is 516560459. The next prime is 516560461. The reversal of 516560460 is 64065615.

It is an interprime number because it is at equal distance from previous prime (516560459) and next prime (516560461).

It is not an unprimeable number, because it can be changed into a prime (516560461) 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, 5114410 + ... + 5114510.

It is an arithmetic number, because the mean of its divisors is an integer number (8396640).

Almost surely, 2^516560460 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 516560460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806077440).

516560460 is an abundant number, since it is smaller than the sum of its proper divisors (1095594420).

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

516560460 is a wasteful number, since it uses less digits than its factorization.

516560460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 516560460 is about 22727.9664730481. The cubic root of 516560460 is about 802.3682220708.

The spelling of 516560460 in words is "five hundred sixteen million, five hundred sixty thousand, four hundred sixty".