1226440800 has 216 divisors, whose sum is σ = 4657764384. Its totient is φ = 301870080.

The previous prime is 1226440771. The next prime is 1226440811. The reversal of 1226440800 is 80446221.

1226440800 is a `hidden beast` number, since 12 + 2 + 644 + 0 + 8 + 0 + 0 = 666.

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, 87049 + ... + 100151.

It is an arithmetic number, because the mean of its divisors is an integer number (21563724).

Almost surely, 2^1226440800 is an apocalyptic number.

1226440800 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 1226440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328882192).

1226440800 is an abundant number, since it is smaller than the sum of its proper divisors (3431323584).

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

1226440800 is a wasteful number, since it uses less digits than its factorization.

1226440800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13142 (or 13126 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1226440800 is about 35020.5768084993. The cubic root of 1226440800 is about 1070.4068095312.

The spelling of 1226440800 in words is "one billion, two hundred twenty-six million, four hundred forty thousand, eight hundred".