305247852 has 432 divisors, whose sum is σ = 1097984160. Its totient is φ = 73156608.

The previous prime is 305247847. The next prime is 305247853. The reversal of 305247852 is 258742503.

It is a super-2 number, since 2×305247852² = 186352502301227808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (305247853) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10525774 + ... + 10525802.

It is an arithmetic number, because the mean of its divisors is an integer number (2541630).

Almost surely, 2^305247852 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 305247852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548992080).

305247852 is an abundant number, since it is smaller than the sum of its proper divisors (792736308).

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

305247852 is a wasteful number, since it uses less digits than its factorization.

305247852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 305247852 is about 17471.3437376751. The cubic root of 305247852 is about 673.3138358785.

The spelling of 305247852 in words is "three hundred five million, two hundred forty-seven thousand, eight hundred fifty-two".