8389465920 has 448 divisors, whose sum is σ = 33089575680. Its totient is φ = 1983283200.

The previous prime is 8389465913. The next prime is 8389465921. The reversal of 8389465920 is 295649838.

8389465920 is a `hidden beast` number, since 8 + 3 + 8 + 9 + 46 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8389465921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3895564 + ... + 3897716.

It is an arithmetic number, because the mean of its divisors is an integer number (73860660).

Almost surely, 2^8389465920 is an apocalyptic number.

8389465920 is a gapful number since it is divisible by the number (80) 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 8389465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16544787840).

8389465920 is an abundant number, since it is smaller than the sum of its proper divisors (24700109760).

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

8389465920 is a wasteful number, since it uses less digits than its factorization.

8389465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 8389465920 is about 91594.0277529054. The cubic root of 8389465920 is about 2031.9426120978.

The spelling of 8389465920 in words is "eight billion, three hundred eighty-nine million, four hundred sixty-five thousand, nine hundred twenty".