301440020 has 48 divisors (see below), whose sum is σ = 727308288. Its totient is φ = 102800640.

The previous prime is 301440017. The next prime is 301440023. The reversal of 301440020 is 20044103.

It is an interprime number because it is at equal distance from previous prime (301440017) and next prime (301440023).

It is a super-3 number, since 3×301440020³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 301439977 and 301440004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301440023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21104 + ... + 32376.

It is an arithmetic number, because the mean of its divisors is an integer number (15152256).

Almost surely, 2^301440020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301440020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363654144).

301440020 is an abundant number, since it is smaller than the sum of its proper divisors (425868268).

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

301440020 is a wasteful number, since it uses less digits than its factorization.

301440020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11480 (or 11478 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 301440020 is about 17362.0281073382. The cubic root of 301440020 is about 670.5023484382.

Adding to 301440020 its reverse (20044103), we get a palindrome (321484123).

It can be divided in two parts, 3014 and 40020, that added together give a palindrome (43034).

The spelling of 301440020 in words is "three hundred one million, four hundred forty thousand, twenty".