516787488 has 216 divisors, whose sum is σ = 1786180032. Its totient is φ = 138811392.

The previous prime is 516787463. The next prime is 516787501. The reversal of 516787488 is 884787615.

It is a happy number.

516787488 is a `hidden beast` number, since 516 + 7 + 87 + 48 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 582181 + ... + 583067.

It is an arithmetic number, because the mean of its divisors is an integer number (8269352).

Almost surely, 2^516787488 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 516787488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893090016).

516787488 is an abundant number, since it is smaller than the sum of its proper divisors (1269392544).

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

516787488 is a wasteful number, since it uses less digits than its factorization.

516787488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 916 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 54.

The square root of 516787488 is about 22732.9603879477. The cubic root of 516787488 is about 802.4857516322.

The spelling of 516787488 in words is "five hundred sixteen million, seven hundred eighty-seven thousand, four hundred eighty-eight".