8307484416 has 720 divisors, whose sum is σ = 31863245568. Its totient is φ = 2107607040.

The previous prime is 8307484357. The next prime is 8307484457. The reversal of 8307484416 is 6144847038.

It is a super-2 number, since 2×8307484416² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 193197291 + ... + 193197333.

Almost surely, 2^8307484416 is an apocalyptic number.

8307484416 is a gapful number since it is divisible by the number (86) 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 8307484416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15931622784).

8307484416 is an abundant number, since it is smaller than the sum of its proper divisors (23555761152).

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

8307484416 is an equidigital number, since it uses as much as digits as its factorization.

8307484416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 8307484416 is about 91145.4026048489. The cubic root of 8307484416 is about 2025.3022495345.

The spelling of 8307484416 in words is "eight billion, three hundred seven million, four hundred eighty-four thousand, four hundred sixteen".