565250400 has 720 divisors, whose sum is σ = 2461436208. Its totient is φ = 124416000.

The previous prime is 565250393. The next prime is 565250401. The reversal of 565250400 is 4052565.

565250400 is a `hidden beast` number, since 5 + 6 + 5 + 250 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (565250401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9266370 + ... + 9266430.

Almost surely, 2^565250400 is an apocalyptic number.

565250400 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 565250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230718104).

565250400 is an abundant number, since it is smaller than the sum of its proper divisors (1896185808).

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

565250400 is a wasteful number, since it uses less digits than its factorization.

565250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 565250400 is about 23774.9952681383. The cubic root of 565250400 is about 826.8250505870.

The spelling of 565250400 in words is "five hundred sixty-five million, two hundred fifty thousand, four hundred".