565075440 has 400 divisors, whose sum is σ = 2117364480. Its totient is φ = 139345920.

The previous prime is 565075429. The next prime is 565075457. The reversal of 565075440 is 44570565.

It is a happy number.

565075440 is a `hidden beast` number, since 565 + 0 + 7 + 54 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 565075395 and 565075404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5825472 + ... + 5825568.

Almost surely, 2^565075440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 565075440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058682240).

565075440 is an abundant number, since it is smaller than the sum of its proper divisors (1552289040).

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

565075440 is a wasteful number, since it uses less digits than its factorization.

565075440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 565075440 is about 23771.3154873684. The cubic root of 565075440 is about 826.7397336850.

The spelling of 565075440 in words is "five hundred sixty-five million, seventy-five thousand, four hundred forty".