566406400 has 216 divisors, whose sum is σ = 1642394880. Its totient is φ = 189358080.

The previous prime is 566406367. The next prime is 566406433. The reversal of 566406400 is 4604665.

It is an interprime number because it is at equal distance from previous prime (566406367) and next prime (566406433).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2105466 + ... + 2105734.

It is an arithmetic number, because the mean of its divisors is an integer number (7603680).

Almost surely, 2^566406400 is an apocalyptic number.

566406400 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 566406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821197440).

566406400 is an abundant number, since it is smaller than the sum of its proper divisors (1075988480).

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

566406400 is a wasteful number, since it uses less digits than its factorization.

566406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 566406400 is about 23799.2941071789. The cubic root of 566406400 is about 827.3883165417.

The spelling of 566406400 in words is "five hundred sixty-six million, four hundred six thousand, four hundred".