557633280 has 144 divisors (see below), whose sum is σ = 1874920320. Its totient is φ = 140857344.

The previous prime is 557633233. The next prime is 557633281. The reversal of 557633280 is 82336755.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557633281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69139 + ... + 76781.

It is an arithmetic number, because the mean of its divisors is an integer number (13020280).

Almost surely, 2^557633280 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 557633280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937460160).

557633280 is an abundant number, since it is smaller than the sum of its proper divisors (1317287040).

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

557633280 is a wasteful number, since it uses less digits than its factorization.

557633280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7686 (or 7672 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 557633280 is about 23614.2600985083. The cubic root of 557633280 is about 823.0942383353.

The spelling of 557633280 in words is "five hundred fifty-seven million, six hundred thirty-three thousand, two hundred eighty".