564279600 has 240 divisors, whose sum is σ = 1893093120. Its totient is φ = 143539200.

The previous prime is 564279571. The next prime is 564279607. The reversal of 564279600 is 6972465.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×564279600² = 636822933952320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564279607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3152311 + ... + 3152489.

It is an arithmetic number, because the mean of its divisors is an integer number (7887888).

Almost surely, 2^564279600 is an apocalyptic number.

564279600 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 564279600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946546560).

564279600 is an abundant number, since it is smaller than the sum of its proper divisors (1328813520).

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

564279600 is a wasteful number, since it uses less digits than its factorization.

564279600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 564279600 is about 23754.5700866170. The cubic root of 564279600 is about 826.3514305623.

The spelling of 564279600 in words is "five hundred sixty-four million, two hundred seventy-nine thousand, six hundred".