6005008460 has 48 divisors (see below), whose sum is σ = 13763367072. Its totient is φ = 2182617600.

The previous prime is 6005008441. The next prime is 6005008483. The reversal of 6005008460 is 648005006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591830 + ... + 601890.

It is an arithmetic number, because the mean of its divisors is an integer number (286736814).

Almost surely, 2^6005008460 is an apocalyptic number.

It is an amenable number.

6005008460 is an abundant number, since it is smaller than the sum of its proper divisors (7758358612).

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

6005008460 is a wasteful number, since it uses less digits than its factorization.

6005008460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12794 (or 12792 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 6005008460 is about 77491.9896505439. The cubic root of 6005008460 is about 1817.6260619795.

The spelling of 6005008460 in words is "six billion, five million, eight thousand, four hundred sixty".