557323200 has 672 divisors, whose sum is σ = 2469286400. Its totient is φ = 119439360.

The previous prime is 557323187. The next prime is 557323201. The reversal of 557323200 is 2323755.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557323201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5745552 + ... + 5745648.

Almost surely, 2^557323200 is an apocalyptic number.

557323200 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 557323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234643200).

557323200 is an abundant number, since it is smaller than the sum of its proper divisors (1911963200).

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

557323200 is a wasteful number, since it uses less digits than its factorization.

557323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 557323200 is about 23607.6936611775. The cubic root of 557323200 is about 822.9416455876.

Adding to 557323200 its reverse (2323755), we get a palindrome (559646955).

The spelling of 557323200 in words is "five hundred fifty-seven million, three hundred twenty-three thousand, two hundred".