444328400 has 30 divisors (see below), whose sum is σ = 1067499942. Its totient is φ = 177731200.

The previous prime is 444328397. The next prime is 444328403. The reversal of 444328400 is 4823444.

It is an interprime number because it is at equal distance from previous prime (444328397) and next prime (444328403).

It can be written as a sum of positive squares in 3 ways, for example, as 6012304 + 438316096 = 2452^2 + 20936^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444328403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555011 + ... + 555810.

Almost surely, 2^444328400 is an apocalyptic number.

444328400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444328400 is an abundant number, since it is smaller than the sum of its proper divisors (623171542).

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

444328400 is a wasteful number, since it uses less digits than its factorization.

444328400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110839 (or 1110828 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

The square root of 444328400 is about 21079.0986524567. The cubic root of 444328400 is about 763.0764037232.

The spelling of 444328400 in words is "four hundred forty-four million, three hundred twenty-eight thousand, four hundred".