441124400 has 60 divisors (see below), whose sum is σ = 1074390312. Its totient is φ = 174021120.

The previous prime is 441124361. The next prime is 441124403. The reversal of 441124400 is 4421144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (441124403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21647 + ... + 36753.

Almost surely, 2^441124400 is an apocalyptic number.

441124400 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 441124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537195156).

441124400 is an abundant number, since it is smaller than the sum of its proper divisors (633265912).

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

441124400 is a wasteful number, since it uses less digits than its factorization.

441124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15198 (or 15187 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 441124400 is about 21002.9616959133. The cubic root of 441124400 is about 761.2378258645.

Adding to 441124400 its reverse (4421144), we get a palindrome (445545544).

The spelling of 441124400 in words is "four hundred forty-one million, one hundred twenty-four thousand, four hundred".