515788560 has 400 divisors, whose sum is σ = 2087116416. Its totient is φ = 115623936.

The previous prime is 515788543. The next prime is 515788589. The reversal of 515788560 is 65887515.

515788560 is a `hidden beast` number, since 5 + 1 + 5 + 7 + 88 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3764812 + ... + 3764948.

Almost surely, 2^515788560 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 515788560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043558208).

515788560 is an abundant number, since it is smaller than the sum of its proper divisors (1571327856).

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

515788560 is a wasteful number, since it uses less digits than its factorization.

515788560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The square root of 515788560 is about 22710.9788428416. The cubic root of 515788560 is about 801.9683613035.

The spelling of 515788560 in words is "five hundred fifteen million, seven hundred eighty-eight thousand, five hundred sixty".