566366400 has 252 divisors, whose sum is σ = 2069350192. Its totient is φ = 146810880.

The previous prime is 566366399. The next prime is 566366401. The reversal of 566366400 is 4663665.

566366400 is a `hidden beast` number, since 5 + 6 + 6 + 3 + 6 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (566366399) and next prime (566366401).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (566366401) 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, 532269 + ... + 533331.

Almost surely, 2^566366400 is an apocalyptic number.

566366400 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 566366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034675096).

566366400 is an abundant number, since it is smaller than the sum of its proper divisors (1502983792).

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

566366400 is a wasteful number, since it uses less digits than its factorization.

566366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 566366400 is about 23798.4537312826. The cubic root of 566366400 is about 827.3688391772.

It can be divided in two parts, 56636 and 6400, that added together give a palindrome (63036).

The spelling of 566366400 in words is "five hundred sixty-six million, three hundred sixty-six thousand, four hundred".