442050144 has 24 divisors (see below), whose sum is σ = 1160381880. Its totient is φ = 147350016.

The previous prime is 442050139. The next prime is 442050149. The reversal of 442050144 is 441050244.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (442050139) and next prime (442050149).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442050149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2302249 + ... + 2302440.

It is an arithmetic number, because the mean of its divisors is an integer number (48349245).

Almost surely, 2^442050144 is an apocalyptic number.

It is an amenable number.

442050144 is an abundant number, since it is smaller than the sum of its proper divisors (718331736).

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

442050144 is a wasteful number, since it uses less digits than its factorization.

442050144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4604702 (or 4604694 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 442050144 is about 21024.9885612335. The cubic root of 442050144 is about 761.7699652146.

The spelling of 442050144 in words is "four hundred forty-two million, fifty thousand, one hundred forty-four".