442080468 has 18 divisors (see below), whose sum is σ = 1117481274. Its totient is φ = 147360144.

The previous prime is 442080439. The next prime is 442080469. The reversal of 442080468 is 864080244.

It can be written as a sum of positive squares in only one way, i.e., 285880464 + 156200004 = 16908^2 + 12498^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12280013 = 442080468 / (4 + 4 + 2 + 0 + 8 + 0 + 4 + 6 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442080469) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6139971 + ... + 6140042.

It is an arithmetic number, because the mean of its divisors is an integer number (62082293).

Almost surely, 2^442080468 is an apocalyptic number.

It is an amenable number.

442080468 is an abundant number, since it is smaller than the sum of its proper divisors (675400806).

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

442080468 is a wasteful number, since it uses less digits than its factorization.

442080468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12280023 (or 12280018 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 442080468 is about 21025.7096907572. The cubic root of 442080468 is about 761.7873835886.

The spelling of 442080468 in words is "four hundred forty-two million, eighty thousand, four hundred sixty-eight".