565948800 has 288 divisors, whose sum is σ = 2070920280. Its totient is φ = 147087360.

The previous prime is 565948783. The next prime is 565948829. The reversal of 565948800 is 8849565.

565948800 is a `hidden beast` number, since 56 + 594 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1238172 + ... + 1238628.

Almost surely, 2^565948800 is an apocalyptic number.

565948800 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 565948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035460140).

565948800 is an abundant number, since it is smaller than the sum of its proper divisors (1504971480).

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

565948800 is a wasteful number, since it uses less digits than its factorization.

565948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 565948800 is about 23789.6784341445. The cubic root of 565948800 is about 827.1654407056.

The spelling of 565948800 in words is "five hundred sixty-five million, nine hundred forty-eight thousand, eight hundred".