305112420 has 120 divisors (see below), whose sum is σ = 965336064. Its totient is φ = 80668224.

The previous prime is 305112383. The next prime is 305112421. The reversal of 305112420 is 24211503.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 305112393 and 305112402.

It is not an unprimeable number, because it can be changed into a prime (305112421) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 204999 + ... + 206481.

Almost surely, 2^305112420 is an apocalyptic number.

305112420 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 305112420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482668032).

305112420 is an abundant number, since it is smaller than the sum of its proper divisors (660223644).

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

305112420 is a wasteful number, since it uses less digits than its factorization.

305112420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 305112420 is about 17467.4674752810. The cubic root of 305112420 is about 673.2142427902.

Adding to 305112420 its reverse (24211503), we get a palindrome (329323923).

The spelling of 305112420 in words is "three hundred five million, one hundred twelve thousand, four hundred twenty".