444456400 has 90 divisors (see below), whose sum is σ = 1096141586. Its totient is φ = 173184000.

The previous prime is 444456391. The next prime is 444456403. The reversal of 444456400 is 4654444.

It can be written as a sum of positive squares in 9 ways, for example, as 290497936 + 153958464 = 17044^2 + 12408^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444456403) 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, 672070 + ... + 672730.

Almost surely, 2^444456400 is an apocalyptic number.

444456400 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 444456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548070793).

444456400 is an abundant number, since it is smaller than the sum of its proper divisors (651685186).

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

444456400 is a wasteful number, since it uses less digits than its factorization.

444456400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

The square root of 444456400 is about 21082.1346167792. The cubic root of 444456400 is about 763.1496711549.

The spelling of 444456400 in words is "four hundred forty-four million, four hundred fifty-six thousand, four hundred".