564832048 has 40 divisors (see below), whose sum is σ = 1199923200. Its totient is φ = 255435840.

The previous prime is 564832027. The next prime is 564832049. The reversal of 564832048 is 840238465.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 564832048.

It is not an unprimeable number, because it can be changed into a prime (564832049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26961 + ... + 43087.

It is an arithmetic number, because the mean of its divisors is an integer number (29998080).

Almost surely, 2^564832048 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 564832048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599961600).

564832048 is an abundant number, since it is smaller than the sum of its proper divisors (635091152).

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

564832048 is a wasteful number, since it uses less digits than its factorization.

564832048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16345 (or 16339 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 564832048 is about 23766.1954885505. The cubic root of 564832048 is about 826.6210175394.

The spelling of 564832048 in words is "five hundred sixty-four million, eight hundred thirty-two thousand, forty-eight".