301400220 has 96 divisors (see below), whose sum is σ = 924215040. Its totient is φ = 72783360.

The previous prime is 301400189. The next prime is 301400227. The reversal of 301400220 is 22004103.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 301400196 and 301400205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301400227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205851 + ... + 207309.

It is an arithmetic number, because the mean of its divisors is an integer number (9627240).

Almost surely, 2^301400220 is an apocalyptic number.

301400220 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 301400220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462107520).

301400220 is an abundant number, since it is smaller than the sum of its proper divisors (622814820).

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

301400220 is a wasteful number, since it uses less digits than its factorization.

301400220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 301400220 is about 17360.8818900423. The cubic root of 301400220 is about 670.4728376829.

Adding to 301400220 its reverse (22004103), we get a palindrome (323404323).

The spelling of 301400220 in words is "three hundred one million, four hundred thousand, two hundred twenty".