4164240 has 40 divisors (see below), whose sum is σ = 12909888. Its totient is φ = 1110400.

The previous prime is 4164233. The next prime is 4164241. The reversal of 4164240 is 424614.

4164240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (4164241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8436 + ... + 8915.

Almost surely, 2^4164240 is an apocalyptic number.

4164240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4164240 is an abundant number, since it is smaller than the sum of its proper divisors (8745648).

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

4164240 is a wasteful number, since it uses less digits than its factorization.

4164240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17367 (or 17361 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4164240 is about 2040.6469562372. The cubic root of 4164240 is about 160.8836524224.

Adding to 4164240 its reverse (424614), we get a palindrome (4588854).

It can be divided in two parts, 416 and 4240, that added together give a triangular number (4656 = T₉₆).

The spelling of 4164240 in words is "four million, one hundred sixty-four thousand, two hundred forty".