442840416 has 24 divisors (see below), whose sum is σ = 1162456344. Its totient is φ = 147613440.

The previous prime is 442840403. The next prime is 442840417. The reversal of 442840416 is 614048244.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×442840416³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442840417) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2306365 + ... + 2306556.

It is an arithmetic number, because the mean of its divisors is an integer number (48435681).

Almost surely, 2^442840416 is an apocalyptic number.

It is an amenable number.

442840416 is an abundant number, since it is smaller than the sum of its proper divisors (719615928).

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

442840416 is a wasteful number, since it uses less digits than its factorization.

442840416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4612934 (or 4612926 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 442840416 is about 21043.7738060453. The cubic root of 442840416 is about 762.2236445798.

It can be divided in two parts, 4428 and 40416, that added together give a palindrome (44844).

The spelling of 442840416 in words is "four hundred forty-two million, eight hundred forty thousand, four hundred sixteen".