557750880 has 384 divisors, whose sum is σ = 2072770560. Its totient is φ = 139898880.

The previous prime is 557750867. The next prime is 557750887. The reversal of 557750880 is 88057755.

It is a happy number.

It is a super-2 number, since 2×557750880² = 622172088281548800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557750887) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8324607 + ... + 8324673.

It is an arithmetic number, because the mean of its divisors is an integer number (5397840).

Almost surely, 2^557750880 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 557750880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036385280).

557750880 is an abundant number, since it is smaller than the sum of its proper divisors (1515019680).

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

557750880 is a wasteful number, since it uses less digits than its factorization.

557750880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The square root of 557750880 is about 23616.7499880911. The cubic root of 557750880 is about 823.1520954027.

The spelling of 557750880 in words is "five hundred fifty-seven million, seven hundred fifty thousand, eight hundred eighty".