444449600 has 126 divisors (see below), whose sum is σ = 1272399030. Its totient is φ = 152355840.

The previous prime is 444449561. The next prime is 444449609. The reversal of 444449600 is 6944444.

It can be written as a sum of positive squares in 3 ways, for example, as 5798464 + 438651136 = 2408^2 + 20944^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444449609) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 75566 + ... + 81234.

It is an arithmetic number, because the mean of its divisors is an integer number (10098405).

Almost surely, 2^444449600 is an apocalyptic number.

444449600 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 444449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636199515).

444449600 is an abundant number, since it is smaller than the sum of its proper divisors (827949430).

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

444449600 is a wasteful number, since it uses less digits than its factorization.

444449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5705 (or 5683 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 444449600 is about 21081.9733421708. The cubic root of 444449600 is about 763.1457791764.

The spelling of 444449600 in words is "four hundred forty-four million, four hundred forty-nine thousand, six hundred".