575456560 has 80 divisors (see below), whose sum is σ = 1570453056. Its totient is φ = 191960064.

The previous prime is 575456551. The next prime is 575456561. The reversal of 575456560 is 65654575.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (575456561) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6834 + ... + 34606.

Almost surely, 2^575456560 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 575456560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785226528).

575456560 is an abundant number, since it is smaller than the sum of its proper divisors (994996496).

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

575456560 is a wasteful number, since it uses less digits than its factorization.

575456560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27830 (or 27824 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 43.

The square root of 575456560 is about 23988.6756616534. The cubic root of 575456560 is about 831.7717800449.

The spelling of 575456560 in words is "five hundred seventy-five million, four hundred fifty-six thousand, five hundred sixty".