442364461 has 16 divisors (see below), whose sum is σ = 555235200. Its totient is φ = 342377280.

The previous prime is 442364453. The next prime is 442364471. The reversal of 442364461 is 164463244.

It is not a de Polignac number, because 442364461 - 2³ = 442364453 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442364471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7806 + ... + 30751.

It is an arithmetic number, because the mean of its divisors is an integer number (34702200).

Almost surely, 2^442364461 is an apocalyptic number.

It is an amenable number.

442364461 is a deficient number, since it is larger than the sum of its proper divisors (112870739).

442364461 is a wasteful number, since it uses less digits than its factorization.

442364461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38724.

The product of its digits is 55296, while the sum is 34.

The square root of 442364461 is about 21032.4620765140. The cubic root of 442364461 is about 761.9504730338.

The spelling of 442364461 in words is "four hundred forty-two million, three hundred sixty-four thousand, four hundred sixty-one".