300120414 has 48 divisors (see below), whose sum is σ = 698607504. Its totient is φ = 85592320.

The previous prime is 300120413. The next prime is 300120439. The reversal of 300120414 is 414021003.

It is a junction number, because it is equal to n+sod(n) for n = 300120393 and 300120402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300120413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184 + ... + 24500.

It is an arithmetic number, because the mean of its divisors is an integer number (14554323).

Almost surely, 2^300120414 is an apocalyptic number.

300120414 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 300120414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349303752).

300120414 is an abundant number, since it is smaller than the sum of its proper divisors (398487090).

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

300120414 is a wasteful number, since it uses less digits than its factorization.

300120414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24361 (or 24350 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 300120414 is about 17323.9837797200. The cubic root of 300120414 is about 669.5225037674.

Adding to 300120414 its reverse (414021003), we get a palindrome (714141417).

The spelling of 300120414 in words is "three hundred million, one hundred twenty thousand, four hundred fourteen".