444150000 has 480 divisors, whose sum is σ = 1859880960. Its totient is φ = 99360000.

The previous prime is 444149957. The next prime is 444150001. The reversal of 444150000 is 51444.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444150001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9449977 + ... + 9450023.

It is an arithmetic number, because the mean of its divisors is an integer number (3874752).

Almost surely, 2^444150000 is an apocalyptic number.

444150000 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 444150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929940480).

444150000 is an abundant number, since it is smaller than the sum of its proper divisors (1415730960).

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

444150000 is an equidigital number, since it uses as much as digits as its factorization.

444150000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 444150000 is about 21074.8665476202. The cubic root of 444150000 is about 762.9742637641.

The spelling of 444150000 in words is "four hundred forty-four million, one hundred fifty thousand".