301424640 has 224 divisors, whose sum is σ = 1056900096. Its totient is φ = 72744960.

The previous prime is 301424639. The next prime is 301424663. The reversal of 301424640 is 46424103.

301424640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 301424640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1351569 + ... + 1351791.

It is an arithmetic number, because the mean of its divisors is an integer number (4718304).

Almost surely, 2^301424640 is an apocalyptic number.

301424640 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 301424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528450048).

301424640 is an abundant number, since it is smaller than the sum of its proper divisors (755475456).

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

301424640 is a wasteful number, since it uses less digits than its factorization.

301424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 301424640 is about 17361.5851810830. The cubic root of 301424640 is about 670.4909448413.

Adding to 301424640 its reverse (46424103), we get a palindrome (347848743).

The spelling of 301424640 in words is "three hundred one million, four hundred twenty-four thousand, six hundred forty".