557020200 has 192 divisors, whose sum is σ = 1935501120. Its totient is φ = 131328000.

The previous prime is 557020153. The next prime is 557020201. The reversal of 557020200 is 2020755.

It is not an unprimeable number, because it can be changed into a prime (557020201) 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, 243060 + ... + 245340.

It is an arithmetic number, because the mean of its divisors is an integer number (10080735).

Almost surely, 2^557020200 is an apocalyptic number.

557020200 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 557020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967750560).

557020200 is an abundant number, since it is smaller than the sum of its proper divisors (1378480920).

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

557020200 is a wasteful number, since it uses less digits than its factorization.

557020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 557020200 is about 23601.2753892666. The cubic root of 557020200 is about 822.7924822771.

Adding to 557020200 its reverse (2020755), we get a palindrome (559040955).

The spelling of 557020200 in words is "five hundred fifty-seven million, twenty thousand, two hundred".