441414400 has 216 divisors, whose sum is σ = 1277418240. Its totient is φ = 147886080.

The previous prime is 441414397. The next prime is 441414409. The reversal of 441414400 is 4414144.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (441414409) 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 23 ways as a sum of consecutive naturals, for example, 2643117 + ... + 2643283.

Almost surely, 2^441414400 is an apocalyptic number.

441414400 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 441414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638709120).

441414400 is an abundant number, since it is smaller than the sum of its proper divisors (836003840).

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

441414400 is a wasteful number, since it uses less digits than its factorization.

441414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 240 counting only the distinct ones).

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

The square root of 441414400 is about 21009.8643498715. The cubic root of 441414400 is about 761.4046046770.

Adding to 441414400 its reverse (4414144), we get a palindrome (445828544).

441414400 divided by its reverse (4414144) gives a square (100 = 10²).

The spelling of 441414400 in words is "four hundred forty-one million, four hundred fourteen thousand, four hundred".