426563505 has 48 divisors (see below), whose sum is σ = 750531600. Its totient is φ = 224100864.

The previous prime is 426563429. The next prime is 426563513. The reversal of 426563505 is 505365624.

It is a happy number.

426563505 is a `hidden beast` number, since 42 + 6 + 563 + 50 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14311089 + 412252416 = 3783^2 + 20304^2 .

It is not a de Polignac number, because 426563505 - 2⁷ = 426563377 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 426563505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1222071 + ... + 1222419.

It is an arithmetic number, because the mean of its divisors is an integer number (15636075).

Almost surely, 2^426563505 is an apocalyptic number.

426563505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

426563505 is a deficient number, since it is larger than the sum of its proper divisors (323968095).

426563505 is a wasteful number, since it uses less digits than its factorization.

426563505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 426563505 is about 20653.4138824554. The cubic root of 426563505 is about 752.7681439359.

The spelling of 426563505 in words is "four hundred twenty-six million, five hundred sixty-three thousand, five hundred five".