444146000 has 40 divisors (see below), whose sum is σ = 1073949864. Its totient is φ = 177657600.

The previous prime is 444145997. The next prime is 444146093. The reversal of 444146000 is 641444.

It can be written as a sum of positive squares in 4 ways, for example, as 93857344 + 350288656 = 9688^2 + 18716^2 .

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

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109037 + ... + 113036.

Almost surely, 2^444146000 is an apocalyptic number.

444146000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444146000 is an abundant number, since it is smaller than the sum of its proper divisors (629803864).

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

444146000 is a wasteful number, since it uses less digits than its factorization.

444146000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222096 (or 222080 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 444146000 is about 21074.7716476359. The cubic root of 444146000 is about 762.9719733170.

Adding to 444146000 its reverse (641444), we get a palindrome (444787444).

The spelling of 444146000 in words is "four hundred forty-four million, one hundred forty-six thousand".