305352120 has 128 divisors (see below), whose sum is σ = 951854400. Its totient is φ = 78299136.

The previous prime is 305352119. The next prime is 305352121. The reversal of 305352120 is 21253503.

It is an interprime number because it is at equal distance from previous prime (305352119) and next prime (305352121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305352121) 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, 430326 + ... + 431034.

Almost surely, 2^305352120 is an apocalyptic number.

305352120 is a gapful number since it is divisible by the number (30) 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 305352120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475927200).

305352120 is an abundant number, since it is smaller than the sum of its proper divisors (646502280).

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

305352120 is a wasteful number, since it uses less digits than its factorization.

305352120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 305352120 is about 17474.3274548693. The cubic root of 305352120 is about 673.3904917222.

The spelling of 305352120 in words is "three hundred five million, three hundred fifty-two thousand, one hundred twenty".