442805311 has 16 divisors (see below), whose sum is σ = 484777440. Its totient is φ = 402019200.

The previous prime is 442805309. The next prime is 442805327. The reversal of 442805311 is 113508244.

It is a cyclic number.

It is not a de Polignac number, because 442805311 - 2¹ = 442805309 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 442805311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442805351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212985 + ... + 215053.

It is an arithmetic number, because the mean of its divisors is an integer number (30298590).

Almost surely, 2^442805311 is an apocalyptic number.

442805311 is a deficient number, since it is larger than the sum of its proper divisors (41972129).

442805311 is a wasteful number, since it uses less digits than its factorization.

442805311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346.

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 442805311 is about 21042.9396948240. The cubic root of 442805311 is about 762.2035029613.

The spelling of 442805311 in words is "four hundred forty-two million, eight hundred five thousand, three hundred eleven".