566810400 has 288 divisors, whose sum is σ = 2044744128. Its totient is φ = 135475200.

The previous prime is 566810399. The next prime is 566810401. The reversal of 566810400 is 4018665.

It is an interprime number because it is at equal distance from previous prime (566810399) and next prime (566810401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (566810401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1154155 + ... + 1154645.

It is an arithmetic number, because the mean of its divisors is an integer number (7099806).

Almost surely, 2^566810400 is an apocalyptic number.

566810400 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 566810400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022372064).

566810400 is an abundant number, since it is smaller than the sum of its proper divisors (1477933728).

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

566810400 is a wasteful number, since it uses less digits than its factorization.

566810400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 566810400 is about 23807.7802409212. The cubic root of 566810400 is about 827.5849865403.

The spelling of 566810400 in words is "five hundred sixty-six million, eight hundred ten thousand, four hundred".