557959680 has 240 divisors, whose sum is σ = 1968996744. Its totient is φ = 145981440.

The previous prime is 557959663. The next prime is 557959729. The reversal of 557959680 is 86959755.

It is a happy number.

557959680 is a `hidden beast` number, since 5 + 579 + 5 + 9 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 337971456 + 219988224 = 18384^2 + 14832^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×557959680² = 622638009011404800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1405242 + ... + 1405638.

Almost surely, 2^557959680 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 557959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984498372).

557959680 is an abundant number, since it is smaller than the sum of its proper divisors (1411037064).

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

557959680 is a wasteful number, since it uses less digits than its factorization.

557959680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The square root of 557959680 is about 23621.1701657644. The cubic root of 557959680 is about 823.2548011808.

The spelling of 557959680 in words is "five hundred fifty-seven million, nine hundred fifty-nine thousand, six hundred eighty".