444862320400 has 45 divisors (see below), whose sum is σ = 1068813774111. Its totient is φ = 177939592320.

The previous prime is 444862320323. The next prime is 444862320401. The reversal of 444862320400 is 4023268444.

The square root of 444862320400 is 666980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 94511975184 + 350350345216 = 307428^2 + 591904^2 .

It is a super-2 number, since 2×444862320400² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 444862320400.

It is not an unprimeable number, because it can be changed into a prime (444862320401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13322926 + ... + 13356274.

Almost surely, 2^444862320400 is an apocalyptic number.

444862320400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

444862320400 is the 666980-th square number.

It is an amenable number.

444862320400 is an abundant number, since it is smaller than the sum of its proper divisors (623951453711).

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

444862320400 is an frugal number, since it uses more digits than its factorization.

444862320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66716 (or 33356 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 444862320400 its reverse (4023268444), we get a palindrome (448885588844).

The spelling of 444862320400 in words is "four hundred forty-four billion, eight hundred sixty-two million, three hundred twenty thousand, four hundred".