4005455300 has 144 divisors (see below), whose sum is σ = 10918551168. Its totient is φ = 1239014400.

The previous prime is 4005455299. The next prime is 4005455329. The reversal of 4005455300 is 35545004.

It is a self number, because there is not a number n which added to its sum of digits gives 4005455300.

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 47 ways as a sum of consecutive naturals, for example, 1053002 + ... + 1056798.

It is an arithmetic number, because the mean of its divisors is an integer number (75823272).

Almost surely, 2^4005455300 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 4005455300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5459275584).

4005455300 is an abundant number, since it is smaller than the sum of its proper divisors (6913095868).

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

4005455300 is a wasteful number, since it uses less digits than its factorization.

4005455300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 4005455300 is about 63288.6664419468. Note that the first 3 decimals coincide. The cubic root of 4005455300 is about 1588.1223698969.

The spelling of 4005455300 in words is "four billion, five million, four hundred fifty-five thousand, three hundred".