557505080 has 96 divisors (see below), whose sum is σ = 1387562400. Its totient is φ = 201442560.

The previous prime is 557505079. The next prime is 557505083. The reversal of 557505080 is 80505755.

It is a self number, because there is not a number n which added to its sum of digits gives 557505080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557505083) 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, 1108109 + ... + 1108611.

It is an arithmetic number, because the mean of its divisors is an integer number (14453775).

Almost surely, 2^557505080 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 557505080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693781200).

557505080 is an abundant number, since it is smaller than the sum of its proper divisors (830057320).

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

557505080 is a wasteful number, since it uses less digits than its factorization.

557505080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 35000, while the sum is 35.

The square root of 557505080 is about 23611.5454809718. The cubic root of 557505080 is about 823.0311569922.

The spelling of 557505080 in words is "five hundred fifty-seven million, five hundred five thousand, eighty".