565938240 has 336 divisors, whose sum is σ = 2139037632. Its totient is φ = 126357504.

The previous prime is 565938227. The next prime is 565938257. The reversal of 565938240 is 42839565.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 565938192 and 565938201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2493007 + ... + 2493233.

Almost surely, 2^565938240 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 565938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069518816).

565938240 is an abundant number, since it is smaller than the sum of its proper divisors (1573099392).

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

565938240 is a wasteful number, since it uses less digits than its factorization.

565938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 565938240 is about 23789.4564881167. The cubic root of 565938240 is about 827.1602959991.

The spelling of 565938240 in words is "five hundred sixty-five million, nine hundred thirty-eight thousand, two hundred forty".