442544040 has 128 divisors (see below), whose sum is σ = 1479772800. Its totient is φ = 117642240.

The previous prime is 442544009. The next prime is 442544059. The reversal of 442544040 is 40445244.

It is a happy number.

442544040 is a `hidden beast` number, since 4 + 4 + 254 + 404 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 442543995 and 442544013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640095 + ... + 640785.

It is an arithmetic number, because the mean of its divisors is an integer number (11560725).

Almost surely, 2^442544040 is an apocalyptic number.

442544040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442544040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739886400).

442544040 is an abundant number, since it is smaller than the sum of its proper divisors (1037228760).

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

442544040 is a wasteful number, since it uses less digits than its factorization.

442544040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 442544040 is about 21036.7307345985. The cubic root of 442544040 is about 762.0535643418.

Adding to 442544040 its reverse (40445244), we get a palindrome (482989284).

The spelling of 442544040 in words is "four hundred forty-two million, five hundred forty-four thousand, forty".