442521009 has 48 divisors (see below), whose sum is σ = 777133440. Its totient is φ = 248058720.

The previous prime is 442520993. The next prime is 442521017. The reversal of 442521009 is 900125244.

442521009 is a `hidden beast` number, since 442 + 5 + 210 + 0 + 9 = 666.

It is not a de Polignac number, because 442521009 - 2⁴ = 442520993 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (442521089) 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 47 ways as a sum of consecutive naturals, for example, 66964 + ... + 73274.

It is an arithmetic number, because the mean of its divisors is an integer number (16190280).

Almost surely, 2^442521009 is an apocalyptic number.

442521009 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

442521009 is a deficient number, since it is larger than the sum of its proper divisors (334612431).

442521009 is a wasteful number, since it uses less digits than its factorization.

442521009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6387 (or 6374 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 442521009 is about 21036.1833277807. The cubic root of 442521009 is about 762.0403444446.

The spelling of 442521009 in words is "four hundred forty-two million, five hundred twenty-one thousand, nine".