4210240 has 56 divisors (see below), whose sum is σ = 10241280. Its totient is φ = 1648128.

The previous prime is 4210211. The next prime is 4210247. The reversal of 4210240 is 420124.

4210240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4210240² = 35452241715200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4210240.

It is not an unprimeable number, because it can be changed into a prime (4210247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18769 + ... + 18991.

It is an arithmetic number, because the mean of its divisors is an integer number (182880).

Almost surely, 2^4210240 is an apocalyptic number.

4210240 is a gapful number since it is divisible by the number (40) 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 4210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120640).

4210240 is an abundant number, since it is smaller than the sum of its proper divisors (6031040).

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

4210240 is a wasteful number, since it uses less digits than its factorization.

4210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4210240 is about 2051.8869364563. The cubic root of 4210240 is about 161.4738812730.

Adding to 4210240 its reverse (420124), we get a palindrome (4630364).

The spelling of 4210240 in words is "four million, two hundred ten thousand, two hundred forty".