557368992 has 96 divisors (see below), whose sum is σ = 1641124800. Its totient is φ = 184022784.

The previous prime is 557368979. The next prime is 557369023. The reversal of 557368992 is 299863755.

557368992 is a `hidden beast` number, since 5 + 573 + 68 + 9 + 9 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

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 15 ways as a sum of consecutive naturals, for example, 89434 + ... + 95462.

It is an arithmetic number, because the mean of its divisors is an integer number (17095050).

Almost surely, 2^557368992 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 557368992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820562400).

557368992 is an abundant number, since it is smaller than the sum of its proper divisors (1083755808).

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

557368992 is a wasteful number, since it uses less digits than its factorization.

557368992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6155 (or 6141 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The square root of 557368992 is about 23608.6634945733. The cubic root of 557368992 is about 822.9641837437.

The spelling of 557368992 in words is "five hundred fifty-seven million, three hundred sixty-eight thousand, nine hundred ninety-two".