442704780 has 144 divisors (see below), whose sum is σ = 1570593024. Its totient is φ = 98824320.

The previous prime is 442704767. The next prime is 442704781. The reversal of 442704780 is 87407244.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (442704781) 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 47 ways as a sum of consecutive naturals, for example, 50095 + ... + 58265.

It is an arithmetic number, because the mean of its divisors is an integer number (10906896).

Almost surely, 2^442704780 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 442704780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785296512).

442704780 is an abundant number, since it is smaller than the sum of its proper divisors (1127888244).

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

442704780 is a wasteful number, since it uses less digits than its factorization.

442704780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8236 (or 8231 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 442704780 is about 21040.5508483024. The cubic root of 442704780 is about 762.1458170529.

The spelling of 442704780 in words is "four hundred forty-two million, seven hundred four thousand, seven hundred eighty".