1224325440 has 336 divisors, whose sum is σ = 4628162448. Its totient is φ = 295206912.

The previous prime is 1224325429. The next prime is 1224325441. The reversal of 1224325440 is 445234221.

It can be written as a sum of positive squares in 8 ways, for example, as 240374016 + 983951424 = 15504^2 + 31368^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1224325441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1984012 + ... + 1984628.

It is an arithmetic number, because the mean of its divisors is an integer number (13774293).

Almost surely, 2^1224325440 is an apocalyptic number.

1224325440 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 1224325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314081224).

1224325440 is an abundant number, since it is smaller than the sum of its proper divisors (3403837008).

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

1224325440 is a wasteful number, since it uses less digits than its factorization.

1224325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 1224325440 is about 34990.3621015845. The cubic root of 1224325440 is about 1069.7910442986.

Adding to 1224325440 its reverse (445234221), we get a palindrome (1669559661).

The spelling of 1224325440 in words is "one billion, two hundred twenty-four million, three hundred twenty-five thousand, four hundred forty".