8403124224 has 256 divisors, whose sum is σ = 25794576000. Its totient is φ = 2406481920.

The previous prime is 8403124217. The next prime is 8403124229. The reversal of 8403124224 is 4224213048.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×8403124224² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8403124191 and 8403124200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8403124229) 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 15 ways as a sum of consecutive naturals, for example, 20545332 + ... + 20545740.

Almost surely, 2^8403124224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8403124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12897288000).

8403124224 is an abundant number, since it is smaller than the sum of its proper divisors (17391451776).

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

8403124224 is a wasteful number, since it uses less digits than its factorization.

8403124224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 444 counting only the distinct ones).

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

The square root of 8403124224 is about 91668.5563538556. The cubic root of 8403124224 is about 2033.0447022241.

The spelling of 8403124224 in words is "eight billion, four hundred three million, one hundred twenty-four thousand, two hundred twenty-four".