442064007 has 32 divisors (see below), whose sum is σ = 816514560. Its totient is φ = 229642560.

The previous prime is 442063981. The next prime is 442064033. The reversal of 442064007 is 700460244.

It is an interprime number because it is at equal distance from previous prime (442063981) and next prime (442064033).

It is not a de Polignac number, because 442064007 - 2¹⁹ = 441539719 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442064047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104238 + ... + 108395.

It is an arithmetic number, because the mean of its divisors is an integer number (25516080).

Almost surely, 2^442064007 is an apocalyptic number.

442064007 is a deficient number, since it is larger than the sum of its proper divisors (374450553).

442064007 is a wasteful number, since it uses less digits than its factorization.

442064007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212660 (or 212654 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 442064007 is about 21025.3182377818. The cubic root of 442064007 is about 761.7779283433. Note that the first 3 decimals are identical.

The spelling of 442064007 in words is "four hundred forty-two million, sixty-four thousand, seven".