522331680 has 288 divisors, whose sum is σ = 1832834304. Its totient is φ = 124919808.

The previous prime is 522331639. The next prime is 522331687. The reversal of 522331680 is 86133225.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (522331687) 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, 3812572 + ... + 3812708.

It is an arithmetic number, because the mean of its divisors is an integer number (6364008).

Almost surely, 2^522331680 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 522331680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916417152).

522331680 is an abundant number, since it is smaller than the sum of its proper divisors (1310502624).

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

522331680 is a wasteful number, since it uses less digits than its factorization.

522331680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 522331680 is about 22854.5767845305. The cubic root of 522331680 is about 805.3452886500.

The spelling of 522331680 in words is "five hundred twenty-two million, three hundred thirty-one thousand, six hundred eighty".