300505152 has 112 divisors (see below), whose sum is σ = 816742080. Its totient is φ = 97486848.

The previous prime is 300505147. The next prime is 300505171. The reversal of 300505152 is 251505003.

300505152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1736938 + ... + 1737110.

It is an arithmetic number, because the mean of its divisors is an integer number (7292340).

Almost surely, 2^300505152 is an apocalyptic number.

300505152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300505152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408371040).

300505152 is an abundant number, since it is smaller than the sum of its proper divisors (516236928).

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

300505152 is a wasteful number, since it uses less digits than its factorization.

300505152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 300505152 is about 17335.0844243690. The cubic root of 300505152 is about 669.8084787105.

The spelling of 300505152 in words is "three hundred million, five hundred five thousand, one hundred fifty-two".