520540416 has 432 divisors, whose sum is σ = 1836656640. Its totient is φ = 139898880.

The previous prime is 520540411. The next prime is 520540429. The reversal of 520540416 is 614045025.

520540416 is a `hidden beast` number, since 5 + 205 + 40 + 416 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 520540416.

It is not an unprimeable number, because it can be changed into a prime (520540411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11075305 + ... + 11075351.

It is an arithmetic number, because the mean of its divisors is an integer number (4251520).

Almost surely, 2^520540416 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 520540416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918328320).

520540416 is an abundant number, since it is smaller than the sum of its proper divisors (1316116224).

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

520540416 is a wasteful number, since it uses less digits than its factorization.

520540416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 520540416 is about 22815.3548295879. The cubic root of 520540416 is about 804.4236276461.

The spelling of 520540416 in words is "five hundred twenty million, five hundred forty thousand, four hundred sixteen".