442505308 has 48 divisors (see below), whose sum is σ = 939314880. Its totient is φ = 178062336.

The previous prime is 442505281. The next prime is 442505317. The reversal of 442505308 is 803505244.

It is a self number, because there is not a number n which added to its sum of digits gives 442505308.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 264298 + ... + 265966.

It is an arithmetic number, because the mean of its divisors is an integer number (19569060).

Almost surely, 2^442505308 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 442505308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469657440).

442505308 is an abundant number, since it is smaller than the sum of its proper divisors (496809572).

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

442505308 is a wasteful number, since it uses less digits than its factorization.

442505308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 442505308 is about 21035.8101341498. The cubic root of 442505308 is about 762.0313317373.

The spelling of 442505308 in words is "four hundred forty-two million, five hundred five thousand, three hundred eight".