442312605 has 48 divisors (see below), whose sum is σ = 888585984. Its totient is φ = 199342080.

The previous prime is 442312603. The next prime is 442312631. The reversal of 442312605 is 506213244.

442312605 is a `hidden beast` number, since 4 + 42 + 3 + 12 + 605 = 666.

It is not a de Polignac number, because 442312605 - 2¹ = 442312603 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442312601) by changing a digit.

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, 12477 + ... + 32253.

It is an arithmetic number, because the mean of its divisors is an integer number (18512208).

Almost surely, 2^442312605 is an apocalyptic number.

442312605 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

442312605 is an abundant number, since it is smaller than the sum of its proper divisors (446273379).

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

442312605 is a wasteful number, since it uses less digits than its factorization.

442312605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19866 (or 19863 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 442312605 is about 21031.2292793360. The cubic root of 442312605 is about 761.9206987555.

Adding to 442312605 its reverse (506213244), we get a palindrome (948525849).

The spelling of 442312605 in words is "four hundred forty-two million, three hundred twelve thousand, six hundred five".