444040400 has 60 divisors (see below), whose sum is σ = 1069258572. Its totient is φ = 177208320.

The previous prime is 444040397. The next prime is 444040409. The reversal of 444040400 is 4040444.

It can be written as a sum of positive squares in 6 ways, for example, as 30162064 + 413878336 = 5492^2 + 20344^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444040409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221804 + ... + 223796.

Almost surely, 2^444040400 is an apocalyptic number.

444040400 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 444040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534629286).

444040400 is an abundant number, since it is smaller than the sum of its proper divisors (625218172).

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

444040400 is a wasteful number, since it uses less digits than its factorization.

444040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 444040400 is about 21072.2661334751. The cubic root of 444040400 is about 762.9115005396.

Adding to 444040400 its reverse (4040444), we get a palindrome (448080844).

The spelling of 444040400 in words is "four hundred forty-four million, forty thousand, four hundred".