442960795809 has 81 divisors (see below), whose sum is σ = 763879167129. Its totient is φ = 246627319680.

The previous prime is 442960795769. The next prime is 442960795847. The reversal of 442960795809 is 908597069244.

The square root of 442960795809 is 665553.

It is a perfect power (a square), and thus also a powerful number.

442960795809 is a `hidden beast` number, since 4 + 42 + 9 + 6 + 0 + 7 + 9 + 580 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 349830846225 + 93129949584 = 591465^2 + 305172^2 .

It is not a de Polignac number, because 442960795809 - 2¹¹ = 442960793761 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (442960795889) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 573040747 + ... + 573041519.

Almost surely, 2^442960795809 is an apocalyptic number.

442960795809 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

442960795809 is the 665553-rd square number.

442960795809 is the 332777-th centered octagonal number.

It is an amenable number.

442960795809 is a deficient number, since it is larger than the sum of its proper divisors (320918371320).

442960795809 is an frugal number, since it uses more digits than its factorization.

442960795809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

It can be divided in two parts, 442960 and 795809, that added together give a square (1238769 = 1113²).

The spelling of 442960795809 in words is "four hundred forty-two billion, nine hundred sixty million, seven hundred ninety-five thousand, eight hundred nine".