444741000 has 128 divisors (see below), whose sum is σ = 1513848960. Its totient is φ = 107808000.

The previous prime is 444740983. The next prime is 444741001. The reversal of 444741000 is 147444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (444741001) 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 31 ways as a sum of consecutive naturals, for example, 26262 + ... + 39738.

It is an arithmetic number, because the mean of its divisors is an integer number (11826945).

Almost surely, 2^444741000 is an apocalyptic number.

444741000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444741000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756924480).

444741000 is an abundant number, since it is smaller than the sum of its proper divisors (1069107960).

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

444741000 is a wasteful number, since it uses less digits than its factorization.

444741000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13512 (or 13498 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 444741000 is about 21088.8833274785. The cubic root of 444741000 is about 763.3125263149.

Adding to 444741000 its reverse (147444), we get a palindrome (444888444).

The spelling of 444741000 in words is "four hundred forty-four million, seven hundred forty-one thousand".