442555540 has 48 divisors (see below), whose sum is σ = 1066770432. Its totient is φ = 151070976.

The previous prime is 442555537. The next prime is 442555591. The reversal of 442555540 is 45555244.

It is a junction number, because it is equal to n+sod(n) for n = 442555496 and 442555505.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 25837 + ... + 39403.

It is an arithmetic number, because the mean of its divisors is an integer number (22224384).

Almost surely, 2^442555540 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 442555540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533385216).

442555540 is an abundant number, since it is smaller than the sum of its proper divisors (624214892).

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

442555540 is a wasteful number, since it uses less digits than its factorization.

442555540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13816 (or 13814 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 34.

The square root of 442555540 is about 21037.0040642673. The cubic root of 442555540 is about 762.0601652216.

The spelling of 442555540 in words is "four hundred forty-two million, five hundred fifty-five thousand, five hundred forty".