300442240 has 128 divisors (see below), whose sum is σ = 827424000. Its totient is φ = 102187008.

The previous prime is 300442199. The next prime is 300442243. The reversal of 300442240 is 42244003.

300442240 = T₃₂₉ + T₃₃₀ + ... + T₁₂₂₄.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300442243) 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, 891352 + ... + 891688.

It is an arithmetic number, because the mean of its divisors is an integer number (6464250).

Almost surely, 2^300442240 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 300442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413712000).

300442240 is an abundant number, since it is smaller than the sum of its proper divisors (526981760).

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

300442240 is a wasteful number, since it uses less digits than its factorization.

300442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 300442240 is about 17333.2697434731. The cubic root of 300442240 is about 669.7617330538.

Adding to 300442240 its reverse (42244003), we get a palindrome (342686243).

The spelling of 300442240 in words is "three hundred million, four hundred forty-two thousand, two hundred forty".