557903104 has 72 divisors (see below), whose sum is σ = 1233415008. Its totient is φ = 249722880.

The previous prime is 557903089. The next prime is 557903107. The reversal of 557903104 is 401309755.

It is a super-2 number, since 2×557903104² = 622511746905669632, 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 557903104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557903107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187194 + ... + 190150.

It is an arithmetic number, because the mean of its divisors is an integer number (17130764).

Almost surely, 2^557903104 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 557903104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616707504).

557903104 is an abundant number, since it is smaller than the sum of its proper divisors (675511904).

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

557903104 is a wasteful number, since it uses less digits than its factorization.

557903104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 557903104 is about 23619.9725656064. The cubic root of 557903104 is about 823.2269747747.

The spelling of 557903104 in words is "five hundred fifty-seven million, nine hundred three thousand, one hundred four".