1224440400 has 180 divisors, whose sum is σ = 4026912896. Its totient is φ = 318028800.

The previous prime is 1224440339. The next prime is 1224440447. The reversal of 1224440400 is 40444221.

1224440400 is nontrivially palindromic in base 9.

1224440400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2016897 + ... + 2017503.

Almost surely, 2^1224440400 is an apocalyptic number.

1224440400 is a gapful number since it is divisible by the number (10) 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 1224440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013456448).

1224440400 is an abundant number, since it is smaller than the sum of its proper divisors (2802472496).

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

1224440400 is a wasteful number, since it uses less digits than its factorization.

1224440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 1224440400 is about 34992.0048010971. The cubic root of 1224440400 is about 1069.8245264991.

Adding to 1224440400 its reverse (40444221), we get a palindrome (1264884621).

The spelling of 1224440400 in words is "one billion, two hundred twenty-four million, four hundred forty thousand, four hundred".