565766400 has 216 divisors, whose sum is σ = 1895850880. Its totient is φ = 148561920.

The previous prime is 565766393. The next prime is 565766407. The reversal of 565766400 is 4667565.

It is an interprime number because it is at equal distance from previous prime (565766393) and next prime (565766407).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (565766407) 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 23 ways as a sum of consecutive naturals, for example, 1516614 + ... + 1516986.

Almost surely, 2^565766400 is an apocalyptic number.

565766400 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 565766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947925440).

565766400 is an abundant number, since it is smaller than the sum of its proper divisors (1330084480).

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

565766400 is a wasteful number, since it uses less digits than its factorization.

565766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 565766400 is about 23785.8445298879. The cubic root of 565766400 is about 827.0765685980.

The spelling of 565766400 in words is "five hundred sixty-five million, seven hundred sixty-six thousand, four hundred".