305242752 has 256 divisors, whose sum is σ = 951782400. Its totient is φ = 85966848.

The previous prime is 305242727. The next prime is 305242753. The reversal of 305242752 is 257242503.

It is not an unprimeable number, because it can be changed into a prime (305242753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2852683 + ... + 2852789.

It is an arithmetic number, because the mean of its divisors is an integer number (3717900).

Almost surely, 2^305242752 is an apocalyptic number.

305242752 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 305242752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475891200).

305242752 is an abundant number, since it is smaller than the sum of its proper divisors (646539648).

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

305242752 is a wasteful number, since it uses less digits than its factorization.

305242752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 305242752 is about 17471.1977837812. The cubic root of 305242752 is about 673.3100860080.

The spelling of 305242752 in words is "three hundred five million, two hundred forty-two thousand, seven hundred fifty-two".