442304007 has 16 divisors (see below), whose sum is σ = 623816448. Its totient is φ = 278182080.

The previous prime is 442304003. The next prime is 442304029. The reversal of 442304007 is 700403244.

It is not a de Polignac number, because 442304007 - 2² = 442304003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442304003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38869 + ... + 48942.

It is an arithmetic number, because the mean of its divisors is an integer number (38988528).

Almost surely, 2^442304007 is an apocalyptic number.

442304007 is a deficient number, since it is larger than the sum of its proper divisors (181512441).

442304007 is a wasteful number, since it uses less digits than its factorization.

442304007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87910.

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 442304007 is about 21031.0248680372. The cubic root of 442304007 is about 761.9157617972.

The spelling of 442304007 in words is "four hundred forty-two million, three hundred four thousand, seven".