442506645 has 144 divisors (see below), whose sum is σ = 952293888. Its totient is φ = 193155840.

The previous prime is 442506629. The next prime is 442506653. The reversal of 442506645 is 546605244.

442506645 is a `hidden beast` number, since 4 + 4 + 2 + 5 + 0 + 6 + 645 = 666.

It is not a de Polignac number, because 442506645 - 2⁴ = 442506629 is a prime.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 9415012 + ... + 9415058.

It is an arithmetic number, because the mean of its divisors is an integer number (6613152).

Almost surely, 2^442506645 is an apocalyptic number.

442506645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

442506645 is an abundant number, since it is smaller than the sum of its proper divisors (509787243).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442506645 is an frugal number, since it uses more digits than its factorization.

442506645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 442506645 is about 21035.8419132679. The cubic root of 442506645 is about 762.0320992120.

The spelling of 442506645 in words is "four hundred forty-two million, five hundred six thousand, six hundred forty-five".