557578560 has 448 divisors, whose sum is σ = 2329159680. Its totient is φ = 109486080.

The previous prime is 557578559. The next prime is 557578573. The reversal of 557578560 is 65875755.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1404282 + ... + 1404678.

Almost surely, 2^557578560 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 557578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164579840).

557578560 is an abundant number, since it is smaller than the sum of its proper divisors (1771581120).

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

557578560 is a wasteful number, since it uses less digits than its factorization.

557578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 1470000, while the sum is 48.

The square root of 557578560 is about 23613.1014481368. The cubic root of 557578560 is about 823.0673143146.

The spelling of 557578560 in words is "five hundred fifty-seven million, five hundred seventy-eight thousand, five hundred sixty".