564233472 has 288 divisors, whose sum is σ = 1874920320. Its totient is φ = 165888000.

The previous prime is 564233459. The next prime is 564233473. The reversal of 564233472 is 274332465.

564233472 is a `hidden beast` number, since 5 + 642 + 3 + 3 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564233473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3117222 + ... + 3117402.

It is an arithmetic number, because the mean of its divisors is an integer number (6510140).

Almost surely, 2^564233472 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 564233472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937460160).

564233472 is an abundant number, since it is smaller than the sum of its proper divisors (1310686848).

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

564233472 is a wasteful number, since it uses less digits than its factorization.

564233472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 238 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 564233472 is about 23753.5991378149. The cubic root of 564233472 is about 826.3289127789.

It can be divided in two parts, 56423 and 3472, that added together give a palindrome (59895).

The spelling of 564233472 in words is "five hundred sixty-four million, two hundred thirty-three thousand, four hundred seventy-two".