516348480 has 224 divisors, whose sum is σ = 1797344640. Its totient is φ = 125009920.

The previous prime is 516348457. The next prime is 516348487. The reversal of 516348480 is 84843615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516348487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 472735 + ... + 473825.

It is an arithmetic number, because the mean of its divisors is an integer number (8023860).

Almost surely, 2^516348480 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 516348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898672320).

516348480 is an abundant number, since it is smaller than the sum of its proper divisors (1280996160).

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

516348480 is a wasteful number, since it uses less digits than its factorization.

516348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 516348480 is about 22723.3025768703. The cubic root of 516348480 is about 802.2584515792.

The spelling of 516348480 in words is "five hundred sixteen million, three hundred forty-eight thousand, four hundred eighty".