442003144 has 32 divisors (see below), whose sum is σ = 943410240. Its totient is φ = 192174400.

The previous prime is 442003141. The next prime is 442003153. The reversal of 442003144 is 441300244.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (442003141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107167 + ... + 111214.

It is an arithmetic number, because the mean of its divisors is an integer number (29481570).

Almost surely, 2^442003144 is an apocalyptic number.

442003144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442003144 is an abundant number, since it is smaller than the sum of its proper divisors (501407096).

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

442003144 is a wasteful number, since it uses less digits than its factorization.

442003144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218421 (or 218417 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 442003144 is about 21023.8708139106. The cubic root of 442003144 is about 761.7429664244.

Adding to 442003144 its reverse (441300244), we get a palindrome (883303388).

The spelling of 442003144 in words is "four hundred forty-two million, three thousand, one hundred forty-four".