442565000 has 40 divisors (see below), whose sum is σ = 1036941510. Its totient is φ = 177024000.

The previous prime is 442564921. The next prime is 442565003. The reversal of 442565000 is 565244.

It can be written as a sum of positive squares in 5 ways, for example, as 40883236 + 401681764 = 6394^2 + 20042^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (442565003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39257 + ... + 49256.

Almost surely, 2^442565000 is an apocalyptic number.

442565000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442565000 is an abundant number, since it is smaller than the sum of its proper divisors (594376510).

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

442565000 is an equidigital number, since it uses as much as digits as its factorization.

442565000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88539 (or 88520 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 442565000 is about 21037.2289049675. The cubic root of 442565000 is about 762.0655950770.

The spelling of 442565000 in words is "four hundred forty-two million, five hundred sixty-five thousand".