564451488 has 72 divisors (see below), whose sum is σ = 1608542208. Its totient is φ = 187754112.

The previous prime is 564451471. The next prime is 564451499. The reversal of 564451488 is 884154465.

It is a happy number.

564451488 is a `hidden beast` number, since 56 + 4 + 4 + 514 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 155745 + ... + 159327.

It is an arithmetic number, because the mean of its divisors is an integer number (22340864).

Almost surely, 2^564451488 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 564451488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804271104).

564451488 is an abundant number, since it is smaller than the sum of its proper divisors (1044090720).

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

564451488 is a wasteful number, since it uses less digits than its factorization.

564451488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4146 (or 4135 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 564451488 is about 23758.1878096794. The cubic root of 564451488 is about 826.4353283763.

It can be divided in two parts, 56 and 4451488, that added together give a palindrome (4451544).

The spelling of 564451488 in words is "five hundred sixty-four million, four hundred fifty-one thousand, four hundred eighty-eight".