568310400 has 288 divisors, whose sum is σ = 2318378400. Its totient is φ = 129853440.

The previous prime is 568310399. The next prime is 568310401. The reversal of 568310400 is 4013865.

568310400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (568310399) and next prime (568310401).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (568310401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 200191 + ... + 203009.

It is an arithmetic number, because the mean of its divisors is an integer number (8049925).

Almost surely, 2^568310400 is an apocalyptic number.

568310400 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 568310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159189200).

568310400 is an abundant number, since it is smaller than the sum of its proper divisors (1750068000).

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

568310400 is a wasteful number, since it uses less digits than its factorization.

568310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 568310400 is about 23839.2617335353. The cubic root of 568310400 is about 828.3143803739.

The spelling of 568310400 in words is "five hundred sixty-eight million, three hundred ten thousand, four hundred".