1224305280 has 640 divisors, whose sum is σ = 5065156800. Its totient is φ = 278691840.

The previous prime is 1224305263. The next prime is 1224305281. The reversal of 1224305280 is 825034221.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1224305281) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 10834504 + ... + 10834616.

Almost surely, 2^1224305280 is an apocalyptic number.

1224305280 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 1224305280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532578400).

1224305280 is an abundant number, since it is smaller than the sum of its proper divisors (3840851520).

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

1224305280 is a wasteful number, since it uses less digits than its factorization.

1224305280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1224305280 is about 34990.0740210706. The cubic root of 1224305280 is about 1069.7851724650.

The spelling of 1224305280 in words is "one billion, two hundred twenty-four million, three hundred five thousand, two hundred eighty".