442548000 has 288 divisors, whose sum is σ = 1655821440. Its totient is φ = 111628800.

The previous prime is 442547983. The next prime is 442548031. The reversal of 442548000 is 845244.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 683677 + ... + 684323.

It is an arithmetic number, because the mean of its divisors is an integer number (5749380).

Almost surely, 2^442548000 is an apocalyptic number.

442548000 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 442548000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827910720).

442548000 is an abundant number, since it is smaller than the sum of its proper divisors (1213273440).

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

442548000 is a wasteful number, since it uses less digits than its factorization.

442548000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 442548000 is about 21036.8248554766. The cubic root of 442548000 is about 762.0558373533.

It can be divided in two parts, 4425 and 48000, that added together give a palindrome (52425).

The spelling of 442548000 in words is "four hundred forty-two million, five hundred forty-eight thousand".