515788416 has 384 divisors, whose sum is σ = 1817786880. Its totient is φ = 138240000.

The previous prime is 515788411. The next prime is 515788453. The reversal of 515788416 is 614887515.

515788416 is a `hidden beast` number, since 5 + 157 + 88 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515788411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5106766 + ... + 5106866.

It is an arithmetic number, because the mean of its divisors is an integer number (4733820).

Almost surely, 2^515788416 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 515788416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908893440).

515788416 is an abundant number, since it is smaller than the sum of its proper divisors (1301998464).

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

515788416 is a wasteful number, since it uses less digits than its factorization.

515788416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 161 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The square root of 515788416 is about 22710.9756725685. The cubic root of 515788416 is about 801.9682866712.

Subtracting 515788416 from its reverse (614887515), we obtain a palindrome (99099099).

The spelling of 515788416 in words is "five hundred fifteen million, seven hundred eighty-eight thousand, four hundred sixteen".