442441080 has 192 divisors, whose sum is σ = 1491609600. Its totient is φ = 113667840.

The previous prime is 442441073. The next prime is 442441091. The reversal of 442441080 is 80144244.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1336515 + ... + 1336845.

It is an arithmetic number, because the mean of its divisors is an integer number (7768800).

Almost surely, 2^442441080 is an apocalyptic number.

442441080 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 442441080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745804800).

442441080 is an abundant number, since it is smaller than the sum of its proper divisors (1049168520).

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

442441080 is a wasteful number, since it uses less digits than its factorization.

442441080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 442441080 is about 21034.2834439398. The cubic root of 442441080 is about 761.9944612820.

The spelling of 442441080 in words is "four hundred forty-two million, four hundred forty-one thousand, eighty".