565380288 has 336 divisors, whose sum is σ = 1947123360. Its totient is φ = 154828800.

The previous prime is 565380281. The next prime is 565380289. The reversal of 565380288 is 882083565.

It is a happy number.

565380288 is a `hidden beast` number, since 565 + 3 + 8 + 0 + 2 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (565380281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3123558 + ... + 3123738.

It is an arithmetic number, because the mean of its divisors is an integer number (5795010).

Almost surely, 2^565380288 is an apocalyptic number.

565380288 is a gapful number since it is divisible by the number (58) 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 565380288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973561680).

565380288 is an abundant number, since it is smaller than the sum of its proper divisors (1381743072).

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

565380288 is a wasteful number, since it uses less digits than its factorization.

565380288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 565380288 is about 23777.7267206098. The cubic root of 565380288 is about 826.8883773457. Note that the first 3 decimals are identical.

The spelling of 565380288 in words is "five hundred sixty-five million, three hundred eighty thousand, two hundred eighty-eight".