557646960 has 320 divisors, whose sum is σ = 2049868800. Its totient is φ = 124084224.

The previous prime is 557646959. The next prime is 557647021. The reversal of 557646960 is 69646755.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1363236 + ... + 1363644.

It is an arithmetic number, because the mean of its divisors is an integer number (6405840).

Almost surely, 2^557646960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557646960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024934400).

557646960 is an abundant number, since it is smaller than the sum of its proper divisors (1492221840).

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

557646960 is a wasteful number, since it uses less digits than its factorization.

557646960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The square root of 557646960 is about 23614.5497522184. The cubic root of 557646960 is about 823.1009690653.

The spelling of 557646960 in words is "five hundred fifty-seven million, six hundred forty-six thousand, nine hundred sixty".