444220608 has 336 divisors, whose sum is σ = 1463222880. Its totient is φ = 117669888.

The previous prime is 444220603. The next prime is 444220633. The reversal of 444220608 is 806022444.

It is not an unprimeable number, because it can be changed into a prime (444220603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15317938 + ... + 15317966.

It is an arithmetic number, because the mean of its divisors is an integer number (4354830).

Almost surely, 2^444220608 is an apocalyptic number.

444220608 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 444220608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731611440).

444220608 is an abundant number, since it is smaller than the sum of its proper divisors (1019002272).

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

444220608 is a wasteful number, since it uses less digits than its factorization.

444220608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 444220608 is about 21076.5416517986. The cubic root of 444220608 is about 763.0146924724.

The spelling of 444220608 in words is "four hundred forty-four million, two hundred twenty thousand, six hundred eight".