444968000 has 56 divisors (see below), whose sum is σ = 1101983064. Its totient is φ = 177984000.

The previous prime is 444967997. The next prime is 444968009. The reversal of 444968000 is 869444.

It can be written as a sum of positive squares in 4 ways, for example, as 95726656 + 349241344 = 9784^2 + 18688^2 .

It is not an unprimeable number, because it can be changed into a prime (444968009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19811 + ... + 35810.

It is an arithmetic number, because the mean of its divisors is an integer number (19678269).

Almost surely, 2^444968000 is an apocalyptic number.

444968000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444968000 is an abundant number, since it is smaller than the sum of its proper divisors (657015064).

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

444968000 is an equidigital number, since it uses as much as digits as its factorization.

444968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55648 (or 55628 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 444968000 is about 21094.2646233520. The cubic root of 444968000 is about 763.4423715297.

The spelling of 444968000 in words is "four hundred forty-four million, nine hundred sixty-eight thousand".