557047680 has 384 divisors, whose sum is σ = 2143272960. Its totient is φ = 122572800.

The previous prime is 557047663. The next prime is 557047693. The reversal of 557047680 is 86740755.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2916385 + ... + 2916575.

It is an arithmetic number, because the mean of its divisors is an integer number (5581440).

Almost surely, 2^557047680 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 557047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071636480).

557047680 is an abundant number, since it is smaller than the sum of its proper divisors (1586225280).

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

557047680 is a wasteful number, since it uses less digits than its factorization.

557047680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 557047680 is about 23601.8575540147. The cubic root of 557047680 is about 822.8060125857.

The spelling of 557047680 in words is "five hundred fifty-seven million, forty-seven thousand, six hundred eighty".