568478400 has 252 divisors, whose sum is σ = 2170483848. Its totient is φ = 129884160.

The previous prime is 568478381. The next prime is 568478401. The reversal of 568478400 is 4874865.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (568478401) 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 35 ways as a sum of consecutive naturals, for example, 233992 + ... + 236408.

Almost surely, 2^568478400 is an apocalyptic number.

568478400 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 568478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085241924).

568478400 is an abundant number, since it is smaller than the sum of its proper divisors (1602005448).

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

568478400 is a wasteful number, since it uses less digits than its factorization.

568478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 568478400 is about 23842.7850722184. The cubic root of 568478400 is about 828.3959925269.

The spelling of 568478400 in words is "five hundred sixty-eight million, four hundred seventy-eight thousand, four hundred".