1226784000 has 288 divisors, whose sum is σ = 4392670464. Its totient is φ = 301670400.

The previous prime is 1226783981. The next prime is 1226784011. The reversal of 1226784000 is 4876221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1247509 + ... + 1248491.

It is an arithmetic number, because the mean of its divisors is an integer number (15252328).

Almost surely, 2^1226784000 is an apocalyptic number.

1226784000 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 1226784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196335232).

1226784000 is an abundant number, since it is smaller than the sum of its proper divisors (3165886464).

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

1226784000 is an equidigital number, since it uses as much as digits as its factorization.

1226784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1226784000 is about 35025.4764421556. The cubic root of 1226784000 is about 1070.5066456737.

The spelling of 1226784000 in words is "one billion, two hundred twenty-six million, seven hundred eighty-four thousand".