1224416424 has 384 divisors, whose sum is σ = 4167475200. Its totient is φ = 292723200.

The previous prime is 1224416423. The next prime is 1224416429. The reversal of 1224416424 is 4246144221.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1224416391 and 1224416400.

It is not an unprimeable number, because it can be changed into a prime (1224416423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18274839 + ... + 18274905.

It is an arithmetic number, because the mean of its divisors is an integer number (10852800).

Almost surely, 2^1224416424 is an apocalyptic number.

1224416424 is a gapful number since it is divisible by the number (14) 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 1224416424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083737600).

1224416424 is an abundant number, since it is smaller than the sum of its proper divisors (2943058776).

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

1224416424 is a wasteful number, since it uses less digits than its factorization.

1224416424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 150 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 1224416424 is about 34991.6622068744. The cubic root of 1224416424 is about 1069.8175436411.

The spelling of 1224416424 in words is "one billion, two hundred twenty-four million, four hundred sixteen thousand, four hundred twenty-four".