444345000 has 160 divisors (see below), whose sum is σ = 1514890080. Its totient is φ = 107680000.

The previous prime is 444344983. The next prime is 444345007. The reversal of 444345000 is 543444.

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 (444345007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 163654 + ... + 166346.

It is an arithmetic number, because the mean of its divisors is an integer number (9468063).

Almost surely, 2^444345000 is an apocalyptic number.

444345000 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 444345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757445040).

444345000 is an abundant number, since it is smaller than the sum of its proper divisors (1070545080).

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

444345000 is a wasteful number, since it uses less digits than its factorization.

444345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 444345000 is about 21079.4924037558. The cubic root of 444345000 is about 763.0859063873.

Adding to 444345000 its reverse (543444), we get a palindrome (444888444).

The spelling of 444345000 in words is "four hundred forty-four million, three hundred forty-five thousand".