565393920 has 320 divisors, whose sum is σ = 2227357440. Its totient is φ = 119144448.

The previous prime is 565393919. The next prime is 565393943. The reversal of 565393920 is 29393565.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 698476 + ... + 699284.

It is an arithmetic number, because the mean of its divisors is an integer number (6960492).

Almost surely, 2^565393920 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 565393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113678720).

565393920 is an abundant number, since it is smaller than the sum of its proper divisors (1661963520).

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

565393920 is a wasteful number, since it uses less digits than its factorization.

565393920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 42.

The square root of 565393920 is about 23778.0133737030. The cubic root of 565393920 is about 826.8950230507.

The spelling of 565393920 in words is "five hundred sixty-five million, three hundred ninety-three thousand, nine hundred twenty".