557881344 has 288 divisors, whose sum is σ = 1788696000. Its totient is φ = 173187072.

The previous prime is 557881343. The next prime is 557881351. The reversal of 557881344 is 443188755.

557881344 is a `hidden beast` number, since 557 + 88 + 13 + 4 + 4 = 666.

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

It is a super-2 number, since 2×557881344² = 622463187966492672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 557881344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557881343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9455587 + ... + 9455645.

It is an arithmetic number, because the mean of its divisors is an integer number (6210750).

Almost surely, 2^557881344 is an apocalyptic number.

557881344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557881344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894348000).

557881344 is an abundant number, since it is smaller than the sum of its proper divisors (1230814656).

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

557881344 is an equidigital number, since it uses as much as digits as its factorization.

557881344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 83 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 557881344 is about 23619.5119339922. The cubic root of 557881344 is about 823.2162718099.

The spelling of 557881344 in words is "five hundred fifty-seven million, eight hundred eighty-one thousand, three hundred forty-four".