557532000 has 288 divisors, whose sum is σ = 2097373824. Its totient is φ = 139776000.

The previous prime is 557531987. The next prime is 557532007. The reversal of 557532000 is 235755.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557532007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611545 + ... + 612455.

It is an arithmetic number, because the mean of its divisors is an integer number (7282548).

Almost surely, 2^557532000 is an apocalyptic number.

557532000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048686912).

557532000 is an abundant number, since it is smaller than the sum of its proper divisors (1539841824).

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

557532000 is a wasteful number, since it uses less digits than its factorization.

557532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 557532000 is about 23612.1155341913. The cubic root of 557532000 is about 823.0444038922.

Adding to 557532000 its reverse (235755), we get a palindrome (557767755).

The spelling of 557532000 in words is "five hundred fifty-seven million, five hundred thirty-two thousand".