1224400800 has 288 divisors, whose sum is σ = 4703698944. Its totient is φ = 270720000.

The previous prime is 1224400799. The next prime is 1224400819. The reversal of 1224400800 is 80044221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 519625 + ... + 521975.

It is an arithmetic number, because the mean of its divisors is an integer number (16332288).

Almost surely, 2^1224400800 is an apocalyptic number.

1224400800 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 1224400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351849472).

1224400800 is an abundant number, since it is smaller than the sum of its proper divisors (3479298144).

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

1224400800 is a wasteful number, since it uses less digits than its factorization.

1224400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1224400800 is about 34991.4389529782. The cubic root of 1224400800 is about 1069.8129932011.

The spelling of 1224400800 in words is "one billion, two hundred twenty-four million, four hundred thousand, eight hundred".