564838000 has 80 divisors (see below), whose sum is σ = 1378840320. Its totient is φ = 223776000.

The previous prime is 564837953. The next prime is 564838007. The reversal of 564838000 is 838465.

564838000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564838007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216705 + ... + 219295.

It is an arithmetic number, because the mean of its divisors is an integer number (17235504).

Almost surely, 2^564838000 is an apocalyptic number.

564838000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564838000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689420160).

564838000 is an abundant number, since it is smaller than the sum of its proper divisors (814002320).

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

564838000 is a wasteful number, since it uses less digits than its factorization.

564838000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 564838000 is about 23766.3207080945. The cubic root of 564838000 is about 826.6239210757.

The spelling of 564838000 in words is "five hundred sixty-four million, eight hundred thirty-eight thousand".