444161088 has 126 divisors (see below), whose sum is σ = 1481055966. Its totient is φ = 126895104.

The previous prime is 444161083. The next prime is 444161089. The reversal of 444161088 is 880161444.

It can be written as a sum of positive squares in only one way, i.e., 433972224 + 10188864 = 20832^2 + 3192^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444161083) 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 17 ways as a sum of consecutive naturals, for example, 20356 + ... + 36092.

Almost surely, 2^444161088 is an apocalyptic number.

444161088 is a gapful number since it is divisible by the number (48) 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 444161088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740527983).

444161088 is an abundant number, since it is smaller than the sum of its proper divisors (1036894878).

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

444161088 is a wasteful number, since it uses less digits than its factorization.

444161088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15769 (or 15749 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 444161088 is about 21075.1296081424. The cubic root of 444161088 is about 762.9806128115.

The spelling of 444161088 in words is "four hundred forty-four million, one hundred sixty-one thousand, eighty-eight".