444151360 has 112 divisors (see below), whose sum is σ = 1097737200. Its totient is φ = 171048960.

The previous prime is 444151339. The next prime is 444151361. The reversal of 444151360 is 63151444.

It can be written as a sum of positive squares in 8 ways, for example, as 28643904 + 415507456 = 5352^2 + 20384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444151361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1272466 + ... + 1272814.

It is an arithmetic number, because the mean of its divisors is an integer number (9801225).

Almost surely, 2^444151360 is an apocalyptic number.

444151360 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 444151360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548868600).

444151360 is an abundant number, since it is smaller than the sum of its proper divisors (653585840).

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

444151360 is a wasteful number, since it uses less digits than its factorization.

444151360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 444151360 is about 21074.8988135175. The cubic root of 444151360 is about 762.9750425130.

The spelling of 444151360 in words is "four hundred forty-four million, one hundred fifty-one thousand, three hundred sixty".