564648000 has 224 divisors, whose sum is σ = 2131454208. Its totient is φ = 129024000.

The previous prime is 564647987. The next prime is 564648001. The reversal of 564648000 is 846465.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564648001) 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, 166320 + ... + 169680.

Almost surely, 2^564648000 is an apocalyptic number.

564648000 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 564648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065727104).

564648000 is an abundant number, since it is smaller than the sum of its proper divisors (1566806208).

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

564648000 is a wasteful number, since it uses less digits than its factorization.

564648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 564648000 is about 23762.3231187525. The cubic root of 564648000 is about 826.5312241970.

The spelling of 564648000 in words is "five hundred sixty-four million, six hundred forty-eight thousand".