564400512 has 192 divisors, whose sum is σ = 1767292800. Its totient is φ = 172882944.

The previous prime is 564400511. The next prime is 564400517. The reversal of 564400512 is 215004465.

564400512 is a `hidden beast` number, since 5 + 644 + 0 + 0 + 5 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564400511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2530833 + ... + 2531055.

It is an arithmetic number, because the mean of its divisors is an integer number (9204650).

Almost surely, 2^564400512 is an apocalyptic number.

564400512 is a gapful number since it is divisible by the number (52) 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 564400512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883646400).

564400512 is an abundant number, since it is smaller than the sum of its proper divisors (1202892288).

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

564400512 is a wasteful number, since it uses less digits than its factorization.

564400512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 564400512 is about 23757.1149763602. The cubic root of 564400512 is about 826.4104489807.

Adding to 564400512 its reverse (215004465), we get a palindrome (779404977).

The spelling of 564400512 in words is "five hundred sixty-four million, four hundred thousand, five hundred twelve".