442645307 has 24 divisors (see below), whose sum is σ = 495039888. Its totient is φ = 395366400.

The previous prime is 442645297. The next prime is 442645331. The reversal of 442645307 is 703546244.

It is not a de Polignac number, because 442645307 - 2²² = 438451003 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442645207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1337132 + ... + 1337462.

It is an arithmetic number, because the mean of its divisors is an integer number (20626662).

Almost surely, 2^442645307 is an apocalyptic number.

442645307 is a deficient number, since it is larger than the sum of its proper divisors (52394581).

442645307 is a wasteful number, since it uses less digits than its factorization.

442645307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The square root of 442645307 is about 21039.1375060861. The cubic root of 442645307 is about 762.1116866119. Note that the first 3 decimals are identical.

The spelling of 442645307 in words is "four hundred forty-two million, six hundred forty-five thousand, three hundred seven".