4005300460 has 24 divisors (see below), whose sum is σ = 9612721440. Its totient is φ = 1373245824.

The previous prime is 4005300449. The next prime is 4005300479. The reversal of 4005300460 is 640035004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14304505 + ... + 14304784.

It is an arithmetic number, because the mean of its divisors is an integer number (400530060).

Almost surely, 2^4005300460 is an apocalyptic number.

It is an amenable number.

4005300460 is an abundant number, since it is smaller than the sum of its proper divisors (5607420980).

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

4005300460 is a wasteful number, since it uses less digits than its factorization.

4005300460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28609305 (or 28609303 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 4005300460 is about 63287.4431463304. The cubic root of 4005300460 is about 1588.1019054705.

Adding to 4005300460 its reverse (640035004), we get a palindrome (4645335464).

The spelling of 4005300460 in words is "four billion, five million, three hundred thousand, four hundred sixty".