420112305 has 32 divisors (see below), whose sum is σ = 750211200. Its totient is φ = 223056576.

The previous prime is 420112271. The next prime is 420112309. The reversal of 420112305 is 503211024.

420112305 is a `hidden beast` number, since 420 + 11 + 230 + 5 = 666.

It is not a de Polignac number, because 420112305 - 2¹⁰ = 420111281 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (420112309) 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, 23791 + ... + 37499.

It is an arithmetic number, because the mean of its divisors is an integer number (23444100).

Almost surely, 2^420112305 is an apocalyptic number.

420112305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420112305 is a deficient number, since it is larger than the sum of its proper divisors (330098895).

420112305 is a wasteful number, since it uses less digits than its factorization.

420112305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13950 (or 13944 counting only the distinct ones).

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

The square root of 420112305 is about 20496.6413102245. The cubic root of 420112305 is about 748.9539818061.

Adding to 420112305 its reverse (503211024), we get a palindrome (923323329).

The spelling of 420112305 in words is "four hundred twenty million, one hundred twelve thousand, three hundred five".