444394080 has 384 divisors, whose sum is σ = 1724768640. Its totient is φ = 106168320.

The previous prime is 444394073. The next prime is 444394081. The reversal of 444394080 is 80493444.

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 (444394081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2302464 + ... + 2302656.

It is an arithmetic number, because the mean of its divisors is an integer number (4491585).

Almost surely, 2^444394080 is an apocalyptic number.

444394080 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 444394080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862384320).

444394080 is an abundant number, since it is smaller than the sum of its proper divisors (1280374560).

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

444394080 is a wasteful number, since it uses less digits than its factorization.

444394080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 444394080 is about 21080.6565362657. The cubic root of 444394080 is about 763.1140008315.

The spelling of 444394080 in words is "four hundred forty-four million, three hundred ninety-four thousand, eighty".