557940852 has 288 divisors, whose sum is σ = 1838592000. Its totient is φ = 145333440.

The previous prime is 557940847. The next prime is 557940853. The reversal of 557940852 is 258049755.

557940852 is a `hidden beast` number, since 557 + 9 + 40 + 8 + 52 = 666.

It is a super-2 number, since 2×557940852² = 622595988660971808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 557940798 and 557940807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557940853) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3116899 + ... + 3117077.

It is an arithmetic number, because the mean of its divisors is an integer number (6384000).

Almost surely, 2^557940852 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 557940852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919296000).

557940852 is an abundant number, since it is smaller than the sum of its proper divisors (1280651148).

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

557940852 is a wasteful number, since it uses less digits than its factorization.

557940852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 557940852 is about 23620.7716216046. The cubic root of 557940852 is about 823.2455410041.

The spelling of 557940852 in words is "five hundred fifty-seven million, nine hundred forty thousand, eight hundred fifty-two".