444471400 has 96 divisors (see below), whose sum is σ = 1077219000. Its totient is φ = 170347520.

The previous prime is 444471361. The next prime is 444471403. The reversal of 444471400 is 4174444.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 82482724 + 361988676 = 9082^2 + 19026^2 .

It is not an unprimeable number, because it can be changed into a prime (444471403) 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, 1142406 + ... + 1142794.

Almost surely, 2^444471400 is an apocalyptic number.

444471400 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 444471400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538609500).

444471400 is an abundant number, since it is smaller than the sum of its proper divisors (632747600).

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

444471400 is a wasteful number, since it uses less digits than its factorization.

444471400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 28.

The square root of 444471400 is about 21082.4903652296. The cubic root of 444471400 is about 763.1582562612.

The spelling of 444471400 in words is "four hundred forty-four million, four hundred seventy-one thousand, four hundred".