1224933840 has 480 divisors, whose sum is σ = 4754445696. Its totient is φ = 291133440.

The previous prime is 1224933817. The next prime is 1224933841. The reversal of 1224933840 is 483394221.

1224933840 is a `hidden beast` number, since 122 + 493 + 3 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1224933795 and 1224933804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1224933841) 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, 9350575 + ... + 9350705.

Almost surely, 2^1224933840 is an apocalyptic number.

1224933840 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 1224933840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377222848).

1224933840 is an abundant number, since it is smaller than the sum of its proper divisors (3529511856).

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

1224933840 is a wasteful number, since it uses less digits than its factorization.

1224933840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1224933840 is about 34999.0548443812. The cubic root of 1224933840 is about 1069.9682175321.

The spelling of 1224933840 in words is "one billion, two hundred twenty-four million, nine hundred thirty-three thousand, eight hundred forty".