444052400 has 120 divisors (see below), whose sum is σ = 1191393984. Its totient is φ = 157651200.

The previous prime is 444052373. The next prime is 444052409. The reversal of 444052400 is 4250444.

It is not an unprimeable number, because it can be changed into a prime (444052409) 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 23 ways as a sum of consecutive naturals, for example, 188027 + ... + 190373.

Almost surely, 2^444052400 is an apocalyptic number.

444052400 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 444052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595696992).

444052400 is an abundant number, since it is smaller than the sum of its proper divisors (747341584).

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

444052400 is a wasteful number, since it uses less digits than its factorization.

444052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 444052400 is about 21072.5508659963. The cubic root of 444052400 is about 762.9183729289.

The spelling of 444052400 in words is "four hundred forty-four million, fifty-two thousand, four hundred".