305253312 has 112 divisors (see below), whose sum is σ = 994086912. Its totient is φ = 80501760.

The previous prime is 305253307. The next prime is 305253329. The reversal of 305253312 is 213352503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8737 + ... + 26207.

It is an arithmetic number, because the mean of its divisors is an integer number (8875776).

Almost surely, 2^305253312 is an apocalyptic number.

305253312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is a pronic number, being equal to 17471×17472.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305253312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497043456).

305253312 is an abundant number, since it is smaller than the sum of its proper divisors (688833600).

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

305253312 is a wasteful number, since it uses less digits than its factorization.

305253312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17506 (or 17496 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 305253312 is about 17471.4999928455. The cubic root of 305253312 is about 673.3178503994.

The spelling of 305253312 in words is "three hundred five million, two hundred fifty-three thousand, three hundred twelve".