444861216 has 144 divisors (see below), whose sum is σ = 1330318080. Its totient is φ = 140743680.

The previous prime is 444861211. The next prime is 444861233. The reversal of 444861216 is 612168444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (444861211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1582996 + ... + 1583276.

It is an arithmetic number, because the mean of its divisors is an integer number (9238320).

Almost surely, 2^444861216 is an apocalyptic number.

444861216 is a gapful number since it is divisible by the number (46) 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 444861216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665159040).

444861216 is an abundant number, since it is smaller than the sum of its proper divisors (885456864).

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

444861216 is a wasteful number, since it uses less digits than its factorization.

444861216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 548 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 444861216 is about 21091.7333569339. The cubic root of 444861216 is about 763.3812960123.

The spelling of 444861216 in words is "four hundred forty-four million, eight hundred sixty-one thousand, two hundred sixteen".