442053645 has 32 divisors (see below), whose sum is σ = 796483584. Its totient is φ = 207412800.

The previous prime is 442053643. The next prime is 442053691. The reversal of 442053645 is 546350244.

It is not a de Polignac number, because 442053645 - 2¹ = 442053643 is a prime.

It is a super-3 number, since 3×442053645³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442053643) 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 31 ways as a sum of consecutive naturals, for example, 38097 + ... + 48326.

It is an arithmetic number, because the mean of its divisors is an integer number (24890112).

Almost surely, 2^442053645 is an apocalyptic number.

It is an amenable number.

442053645 is a deficient number, since it is larger than the sum of its proper divisors (354429939).

442053645 is a wasteful number, since it uses less digits than its factorization.

442053645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86473.

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 442053645 is about 21025.0718191401. The cubic root of 442053645 is about 761.7719762607.

The spelling of 442053645 in words is "four hundred forty-two million, fifty-three thousand, six hundred forty-five".