442404144 has 360 divisors, whose sum is σ = 1592978400. Its totient is φ = 114476544.

The previous prime is 442404143. The next prime is 442404173. The reversal of 442404144 is 441404244.

442404144 is a `hidden beast` number, since 4 + 4 + 240 + 414 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442404143) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8347222 + ... + 8347274.

It is an arithmetic number, because the mean of its divisors is an integer number (4424940).

Almost surely, 2^442404144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442404144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796489200).

442404144 is an abundant number, since it is smaller than the sum of its proper divisors (1150574256).

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

442404144 is a wasteful number, since it uses less digits than its factorization.

442404144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 442404144 is about 21033.4054304100. The cubic root of 442404144 is about 761.9732563412.

Adding to 442404144 its reverse (441404244), we get a palindrome (883808388).

It can be divided in two parts, 44240 and 4144, that added together give a palindrome (48384).

The spelling of 442404144 in words is "four hundred forty-two million, four hundred four thousand, one hundred forty-four".