444334080 has 152 divisors (see below), whose sum is σ = 1434449232. Its totient is φ = 117440512.

The previous prime is 444333983. The next prime is 444334081. The reversal of 444334080 is 80433444.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444334081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3932104 + ... + 3932216.

It is an arithmetic number, because the mean of its divisors is an integer number (9437166).

Almost surely, 2^444334080 is an apocalyptic number.

444334080 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 444334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717224616).

444334080 is an abundant number, since it is smaller than the sum of its proper divisors (990115152).

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

444334080 is an frugal number, since it uses more digits than its factorization.

444334080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 444334080 is about 21079.2333826446. The cubic root of 444334080 is about 763.0796552638.

The spelling of 444334080 in words is "four hundred forty-four million, three hundred thirty-four thousand, eighty".