442505307 has 16 divisors (see below), whose sum is σ = 628928000. Its totient is φ = 275936544.

The previous prime is 442505281. The next prime is 442505317. The reversal of 442505307 is 703505244.

It is not a de Polignac number, because 442505307 - 2⁶ = 442505243 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442505317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44632 + ... + 53637.

It is an arithmetic number, because the mean of its divisors is an integer number (39308000).

Almost surely, 2^442505307 is an apocalyptic number.

442505307 is a deficient number, since it is larger than the sum of its proper divisors (186422693).

442505307 is a wasteful number, since it uses less digits than its factorization.

442505307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98370.

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 442505307 is about 21035.8101103808. The cubic root of 442505307 is about 762.0313311633.

The spelling of 442505307 in words is "four hundred forty-two million, five hundred five thousand, three hundred seven".