444412400 has 30 divisors (see below), whose sum is σ = 1067701752. Its totient is φ = 177764800.

The previous prime is 444412369. The next prime is 444412421. The reversal of 444412400 is 4214444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555116 + ... + 555915.

Almost surely, 2^444412400 is an apocalyptic number.

444412400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444412400 is an abundant number, since it is smaller than the sum of its proper divisors (623289352).

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

444412400 is a wasteful number, since it uses less digits than its factorization.

444412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111049 (or 1111038 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 444412400 is about 21081.0910533587. The cubic root of 444412400 is about 763.1244870621.

Adding to 444412400 its reverse (4214444), we get a palindrome (448626844).

The spelling of 444412400 in words is "four hundred forty-four million, four hundred twelve thousand, four hundred".