301728240 has 480 divisors, whose sum is σ = 1228421376. Its totient is φ = 68014080.

The previous prime is 301728221. The next prime is 301728247. The reversal of 301728240 is 42827103.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301728247) 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 95 ways as a sum of consecutive naturals, for example, 3635239 + ... + 3635321.

Almost surely, 2^301728240 is an apocalyptic number.

301728240 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 301728240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614210688).

301728240 is an abundant number, since it is smaller than the sum of its proper divisors (926693136).

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

301728240 is a wasteful number, since it uses less digits than its factorization.

301728240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 301728240 is about 17370.3264218034. The cubic root of 301728240 is about 670.7159792486.

The spelling of 301728240 in words is "three hundred one million, seven hundred twenty-eight thousand, two hundred forty".