522042768 has 120 divisors (see below), whose sum is σ = 1616117048. Its totient is φ = 156266496.

The previous prime is 522042767. The next prime is 522042779. The reversal of 522042768 is 867240225.

522042768 is a `hidden beast` number, since 5 + 220 + 427 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75481344 + 446561424 = 8688^2 + 21132^2 .

It is a super-2 number, since 2×522042768² = 545057303242203648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (522042767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65496 + ... + 73032.

Almost surely, 2^522042768 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 522042768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808058524).

522042768 is an abundant number, since it is smaller than the sum of its proper divisors (1094074280).

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

522042768 is a wasteful number, since it uses less digits than its factorization.

522042768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7601 (or 7592 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 522042768 is about 22848.2552506751. The cubic root of 522042768 is about 805.1967771205.

The spelling of 522042768 in words is "five hundred twenty-two million, forty-two thousand, seven hundred sixty-eight".