444660400 has 30 divisors (see below), whose sum is σ = 1068297572. Its totient is φ = 177864000.

The previous prime is 444660383. The next prime is 444660409. The reversal of 444660400 is 4066444.

It is not an unprimeable number, because it can be changed into a prime (444660409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555426 + ... + 556225.

Almost surely, 2^444660400 is an apocalyptic number.

444660400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444660400 is an abundant number, since it is smaller than the sum of its proper divisors (623637172).

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

444660400 is a wasteful number, since it uses less digits than its factorization.

444660400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111669 (or 1111658 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 444660400 is about 21086.9722814822. The cubic root of 444660400 is about 763.2664120547.

It can be divided in two parts, 4446 and 60400, that added together give a palindrome (64846).

The spelling of 444660400 in words is "four hundred forty-four million, six hundred sixty thousand, four hundred".