301228240 has 80 divisors (see below), whose sum is σ = 754523136. Its totient is φ = 111513600.

The previous prime is 301228237. The next prime is 301228267. The reversal of 301228240 is 42822103.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54400 + ... + 59680.

Almost surely, 2^301228240 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 301228240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377261568).

301228240 is an abundant number, since it is smaller than the sum of its proper divisors (453294896).

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

301228240 is a wasteful number, since it uses less digits than its factorization.

301228240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5348 (or 5342 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 301228240 is about 17355.9280938819. The cubic root of 301228240 is about 670.3452887191.

The spelling of 301228240 in words is "three hundred one million, two hundred twenty-eight thousand, two hundred forty".