8005333460 has 48 divisors (see below), whose sum is σ = 17743756800. Its totient is φ = 3025413504.

The previous prime is 8005333429. The next prime is 8005333477. The reversal of 8005333460 is 643335008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113501 + ... + 169979.

It is an arithmetic number, because the mean of its divisors is an integer number (369661600).

Almost surely, 2^8005333460 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 8005333460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8871878400).

8005333460 is an abundant number, since it is smaller than the sum of its proper divisors (9738423340).

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

8005333460 is a wasteful number, since it uses less digits than its factorization.

8005333460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56880 (or 56878 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 8005333460 is about 89472.5290801596. The cubic root of 8005333460 is about 2000.4443562664. Note that the first 3 decimals are identical.

Adding to 8005333460 its reverse (643335008), we get a palindrome (8648668468).

The spelling of 8005333460 in words is "eight billion, five million, three hundred thirty-three thousand, four hundred sixty".