444352080 has 160 divisors (see below), whose sum is σ = 1417409280. Its totient is φ = 115118080.

The previous prime is 444352063. The next prime is 444352091. The reversal of 444352080 is 80253444.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1516414 + ... + 1516706.

It is an arithmetic number, because the mean of its divisors is an integer number (8858808).

Almost surely, 2^444352080 is an apocalyptic number.

444352080 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 444352080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708704640).

444352080 is an abundant number, since it is smaller than the sum of its proper divisors (973057200).

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

444352080 is a wasteful number, since it uses less digits than its factorization.

444352080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 444352080 is about 21079.6603388195. The cubic root of 444352080 is about 763.0899592588.

The spelling of 444352080 in words is "four hundred forty-four million, three hundred fifty-two thousand, eighty".