442824007 has 12 divisors (see below), whose sum is σ = 476098056. Its totient is φ = 411731840.

The previous prime is 442823923. The next prime is 442824017. The reversal of 442824007 is 700428244.

It is not a de Polignac number, because 442824007 - 2⁷ = 442823879 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 442824007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442824017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14757 + ... + 33217.

It is an arithmetic number, because the mean of its divisors is an integer number (39674838).

Almost surely, 2^442824007 is an apocalyptic number.

442824007 is a deficient number, since it is larger than the sum of its proper divisors (33274049).

442824007 is a wasteful number, since it uses less digits than its factorization.

442824007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18578 (or 18561 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 31.

The square root of 442824007 is about 21043.3839246448. The cubic root of 442824007 is about 762.2142299902.

The spelling of 442824007 in words is "four hundred forty-two million, eight hundred twenty-four thousand, seven".