244004400 has 300 divisors, whose sum is σ = 929317752. Its totient is φ = 61102080.

The previous prime is 244004393. The next prime is 244004413. The reversal of 244004400 is 4400442.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 550579 + ... + 551021.

Almost surely, 2^244004400 is an apocalyptic number.

244004400 is a gapful number since it is divisible by the number (20) 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 244004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464658876).

244004400 is an abundant number, since it is smaller than the sum of its proper divisors (685313352).

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

244004400 is a wasteful number, since it uses less digits than its factorization.

244004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 244004400 is about 15620.6401917463. The cubic root of 244004400 is about 624.8837330392.

Adding to 244004400 its reverse (4400442), we get a palindrome (248404842).

The spelling of 244004400 in words is "two hundred forty-four million, four thousand, four hundred".