565948944 has 210 divisors, whose sum is σ = 1811588478. Its totient is φ = 171072000.

The previous prime is 565948939. The next prime is 565948963. The reversal of 565948944 is 449849565.

565948944 is a `hidden beast` number, since 5 + 6 + 594 + 8 + 9 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 564537600 + 1411344 = 23760^2 + 1188^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1411144 + ... + 1411544.

Almost surely, 2^565948944 is an apocalyptic number.

565948944 is a gapful number since it is divisible by the number (54) 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 565948944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905794239).

565948944 is an abundant number, since it is smaller than the sum of its proper divisors (1245639534).

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

565948944 is a wasteful number, since it uses less digits than its factorization.

565948944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 417 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 565948944 is about 23789.6814606669. The cubic root of 565948944 is about 827.1655108602.

The spelling of 565948944 in words is "five hundred sixty-five million, nine hundred forty-eight thousand, nine hundred forty-four".