557115840 has 224 divisors, whose sum is σ = 2081540160. Its totient is φ = 139788288.

The previous prime is 557115829. The next prime is 557115851. The reversal of 557115840 is 48511755.

557115840 is a `hidden beast` number, since 5 + 5 + 71 + 1 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (557115829) and next prime (557115851).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 557115795 and 557115804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144984 + ... + 148776.

It is an arithmetic number, because the mean of its divisors is an integer number (9292590).

Almost surely, 2^557115840 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 557115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040770080).

557115840 is an abundant number, since it is smaller than the sum of its proper divisors (1524424320).

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

557115840 is a wasteful number, since it uses less digits than its factorization.

557115840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3836 (or 3820 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The square root of 557115840 is about 23603.3014639902. The cubic root of 557115840 is about 822.8395705573.

The spelling of 557115840 in words is "five hundred fifty-seven million, one hundred fifteen thousand, eight hundred forty".