444411400 has 48 divisors (see below), whose sum is σ = 1034643600. Its totient is φ = 177526080.

The previous prime is 444411391. The next prime is 444411431. The reversal of 444411400 is 4114444.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291039 + ... + 292561.

It is an arithmetic number, because the mean of its divisors is an integer number (21555075).

Almost surely, 2^444411400 is an apocalyptic number.

444411400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444411400 is an abundant number, since it is smaller than the sum of its proper divisors (590232200).

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

444411400 is a wasteful number, since it uses less digits than its factorization.

444411400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 444411400 is about 21081.0673354079. The cubic root of 444411400 is about 763.1239146770.

Adding to 444411400 its reverse (4114444), we get a palindrome (448525844).

The spelling of 444411400 in words is "four hundred forty-four million, four hundred eleven thousand, four hundred".