557056000 has 152 divisors (see below), whose sum is σ = 1472197896. Its totient is φ = 209715200.

The previous prime is 557055973. The next prime is 557056009. The reversal of 557056000 is 650755.

It can be written as a sum of positive squares in 4 ways, for example, as 2359296 + 554696704 = 1536^2 + 23552^2 .

It is a super-2 number, since 2×557056000² = 620622774272000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 557056000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557056009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32767992 + ... + 32768008.

Almost surely, 2^557056000 is an apocalyptic number.

557056000 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 557056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736098948).

557056000 is an abundant number, since it is smaller than the sum of its proper divisors (915141896).

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

557056000 is an frugal number, since it uses more digits than its factorization.

557056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 28.

The square root of 557056000 is about 23602.0338106698. The cubic root of 557056000 is about 822.8101090106.

The spelling of 557056000 in words is "five hundred fifty-seven million, fifty-six thousand".