557561700 has 108 divisors (see below), whose sum is σ = 1758239028. Its totient is φ = 147782400.

The previous prime is 557561677. The next prime is 557561701. The reversal of 557561700 is 7165755.

It can be written as a sum of positive squares in 6 ways, for example, as 56160036 + 501401664 = 7494^2 + 22392^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (557561701) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 153910 + ... + 157490.

It is an arithmetic number, because the mean of its divisors is an integer number (16279991).

Almost surely, 2^557561700 is an apocalyptic number.

557561700 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 557561700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879119514).

557561700 is an abundant number, since it is smaller than the sum of its proper divisors (1200677328).

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

557561700 is a wasteful number, since it uses less digits than its factorization.

557561700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774 (or 3764 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 36.

The square root of 557561700 is about 23612.7444402382. The cubic root of 557561700 is about 823.0590182909.

The spelling of 557561700 in words is "five hundred fifty-seven million, five hundred sixty-one thousand, seven hundred".