301413420 has 288 divisors, whose sum is σ = 1179763200. Its totient is φ = 62536320.

The previous prime is 301413407. The next prime is 301413439. The reversal of 301413420 is 24314103.

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 = 301413393 and 301413402.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 457051 + ... + 457709.

It is an arithmetic number, because the mean of its divisors is an integer number (4096400).

Almost surely, 2^301413420 is an apocalyptic number.

301413420 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 301413420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589881600).

301413420 is an abundant number, since it is smaller than the sum of its proper divisors (878349780).

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

301413420 is a wasteful number, since it uses less digits than its factorization.

301413420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 301413420 is about 17361.2620508994. The cubic root of 301413420 is about 670.4826254575.

Adding to 301413420 its reverse (24314103), we get a palindrome (325727523).

The spelling of 301413420 in words is "three hundred one million, four hundred thirteen thousand, four hundred twenty".