601302240 has 864 divisors, whose sum is σ = 2823387840. Its totient is φ = 113541120.

The previous prime is 601302209. The next prime is 601302263. The reversal of 601302240 is 42203106.

It is a happy number.

601302240 is a `hidden beast` number, since 601 + 3 + 0 + 22 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20734546 + ... + 20734574.

It is an arithmetic number, because the mean of its divisors is an integer number (3267810).

Almost surely, 2^601302240 is an apocalyptic number.

601302240 is a gapful number since it is divisible by the number (60) 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 601302240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411693920).

601302240 is an abundant number, since it is smaller than the sum of its proper divisors (2222085600).

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

601302240 is a wasteful number, since it uses less digits than its factorization.

601302240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 601302240 is about 24521.4648828328. The cubic root of 601302240 is about 844.0424197962.

Adding to 601302240 its reverse (42203106), we get a palindrome (643505346).

The spelling of 601302240 in words is "six hundred one million, three hundred two thousand, two hundred forty".