442160000 has 80 divisors (see below), whose sum is σ = 1100928840. Its totient is φ = 176832000.

The previous prime is 442159979. The next prime is 442160003. The reversal of 442160000 is 61244.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442160003) 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 9 ways as a sum of consecutive naturals, for example, 77237 + ... + 82763.

Almost surely, 2^442160000 is an apocalyptic number.

442160000 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 442160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550464420).

442160000 is an abundant number, since it is smaller than the sum of its proper divisors (658768840).

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

442160000 is an frugal number, since it uses more digits than its factorization.

442160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561 (or 5534 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 442160000 is about 21027.6009092811. The cubic root of 442160000 is about 761.8330636896.

The spelling of 442160000 in words is "four hundred forty-two million, one hundred sixty thousand".