557088840 has 720 divisors, whose sum is σ = 2476712700. Its totient is φ = 111767040.

The previous prime is 557088823. The next prime is 557088841. The reversal of 557088840 is 48880755.

It can be written as a sum of positive squares in 2 ways, for example, as 555167844 + 1920996 = 23562^2 + 1386^2 .

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

It is not an unprimeable number, because it can be changed into a prime (557088841) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 19209946 + ... + 19209974.

Almost surely, 2^557088840 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 557088840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238356350).

557088840 is an abundant number, since it is smaller than the sum of its proper divisors (1919623860).

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

557088840 is a wasteful number, since it uses less digits than its factorization.

557088840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 557088840 is about 23602.7295031740. The cubic root of 557088840 is about 822.8262776741.

The spelling of 557088840 in words is "five hundred fifty-seven million, eighty-eight thousand, eight hundred forty".