442006576 has 80 divisors (see below), whose sum is σ = 991900800. Its totient is φ = 188697600.

The previous prime is 442006567. The next prime is 442006577. The reversal of 442006576 is 675600244.

It is not an unprimeable number, because it can be changed into a prime (442006577) by changing a digit.

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, 437560 + ... + 438568.

It is an arithmetic number, because the mean of its divisors is an integer number (12398760).

Almost surely, 2^442006576 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 442006576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495950400).

442006576 is an abundant number, since it is smaller than the sum of its proper divisors (549894224).

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

442006576 is a wasteful number, since it uses less digits than its factorization.

442006576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 442006576 is about 21023.9524352582. The cubic root of 442006576 is about 761.7449379753.

The spelling of 442006576 in words is "four hundred forty-two million, six thousand, five hundred seventy-six".