523342080 has 288 divisors, whose sum is σ = 1957334400. Its totient is φ = 132046848.

The previous prime is 523342067. The next prime is 523342111. The reversal of 523342080 is 80243325.

523342080 is a `hidden beast` number, since 5 + 233 + 420 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 656242 + ... + 657038.

It is an arithmetic number, because the mean of its divisors is an integer number (6796300).

Almost surely, 2^523342080 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 523342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978667200).

523342080 is an abundant number, since it is smaller than the sum of its proper divisors (1433992320).

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

523342080 is a wasteful number, since it uses less digits than its factorization.

523342080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 523342080 is about 22876.6710865021. The cubic root of 523342080 is about 805.8642416358.

The spelling of 523342080 in words is "five hundred twenty-three million, three hundred forty-two thousand, eighty".