5003461008 has 480 divisors, whose sum is σ = 18112174080. Its totient is φ = 1254113280.

The previous prime is 5003460997. The next prime is 5003461033. The reversal of 5003461008 is 8001643005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44278360 + ... + 44278472.

It is an arithmetic number, because the mean of its divisors is an integer number (37733696).

Almost surely, 2^5003461008 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 5003461008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9056087040).

5003461008 is an abundant number, since it is smaller than the sum of its proper divisors (13108713072).

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

5003461008 is a wasteful number, since it uses less digits than its factorization.

5003461008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5003461008 is about 70735.1469073190. The cubic root of 5003461008 is about 1710.3704050379.

The spelling of 5003461008 in words is "five billion, three million, four hundred sixty-one thousand, eight".