557668224 has 96 divisors (see below), whose sum is σ = 1644027840. Its totient is φ = 181340160.

The previous prime is 557668213. The next prime is 557668249. The reversal of 557668224 is 422866755.

It is a Cunningham number, because it is equal to 23615²-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 557668224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41329 + ... + 53135.

It is an arithmetic number, because the mean of its divisors is an integer number (17125290).

Almost surely, 2^557668224 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 557668224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822013920).

557668224 is an abundant number, since it is smaller than the sum of its proper divisors (1086359616).

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

557668224 is a wasteful number, since it uses less digits than its factorization.

557668224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11868 (or 11853 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 557668224 is about 23614.9999788270. Note that the first 4 decimals coincide. The cubic root of 557668224 is about 823.1114309990. Note that the first 3 decimals are identical.

The spelling of 557668224 in words is "five hundred fifty-seven million, six hundred sixty-eight thousand, two hundred twenty-four".