442320000 has 320 divisors, whose sum is σ = 1561375200. Its totient is φ = 110592000.

The previous prime is 442319993. The next prime is 442320001. The reversal of 442320000 is 23244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (442320001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4559952 + ... + 4560048.

Almost surely, 2^442320000 is an apocalyptic number.

442320000 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 442320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780687600).

442320000 is an abundant number, since it is smaller than the sum of its proper divisors (1119055200).

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

442320000 is an equidigital number, since it uses as much as digits as its factorization.

442320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 442320000 is about 21031.4050885812. The cubic root of 442320000 is about 761.9249449019.

Adding to 442320000 its reverse (23244), we get a palindrome (442343244).

The spelling of 442320000 in words is "four hundred forty-two million, three hundred twenty thousand".