442620585 has 128 divisors (see below), whose sum is σ = 923788800. Its totient is φ = 198696960.

The previous prime is 442620583. The next prime is 442620593. The reversal of 442620585 is 585026244.

It is a happy number.

442620585 is a `hidden beast` number, since 442 + 6 + 205 + 8 + 5 = 666.

It is not a de Polignac number, because 442620585 - 2¹ = 442620583 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (442620583) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2246707 + ... + 2246903.

It is an arithmetic number, because the mean of its divisors is an integer number (7217100).

Almost surely, 2^442620585 is an apocalyptic number.

442620585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

442620585 is an abundant number, since it is smaller than the sum of its proper divisors (481168215).

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

442620585 is a wasteful number, since it uses less digits than its factorization.

442620585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 442620585 is about 21038.5499737981. The cubic root of 442620585 is about 762.0974982196.

The spelling of 442620585 in words is "four hundred forty-two million, six hundred twenty thousand, five hundred eighty-five".