565342240 has 144 divisors (see below), whose sum is σ = 1435984200. Its totient is φ = 210051072.

The previous prime is 565342223. The next prime is 565342243. The reversal of 565342240 is 42243565.

It can be written as a sum of positive squares in 12 ways, for example, as 192543376 + 372798864 = 13876^2 + 19308^2 .

It is a super-2 number, since 2×565342240² = 639223696656435200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (565342243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6352116 + ... + 6352204.

Almost surely, 2^565342240 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 565342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717992100).

565342240 is an abundant number, since it is smaller than the sum of its proper divisors (870641960).

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

565342240 is a wasteful number, since it uses less digits than its factorization.

565342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 565342240 is about 23776.9266306644. The cubic root of 565342240 is about 826.8698280876.

The spelling of 565342240 in words is "five hundred sixty-five million, three hundred forty-two thousand, two hundred forty".