4240413 has 12 divisors (see below), whose sum is σ = 6166108. Its totient is φ = 2808000.

The previous prime is 4240399. The next prime is 4240417. The reversal of 4240413 is 3140424.

It can be written as a sum of positive squares in 2 ways, for example, as 1750329 + 2490084 = 1323^2 + 1578^2 .

It is not a de Polignac number, because 4240413 - 2⁵ = 4240381 is a prime.

It is a super-2 number, since 2×4240413² = 35962204821138, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

4240413 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4240417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88 + ... + 2913.

Almost surely, 2^4240413 is an apocalyptic number.

It is an amenable number.

4240413 is a deficient number, since it is larger than the sum of its proper divisors (1925695).

4240413 is a wasteful number, since it uses less digits than its factorization.

4240413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3161 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4240413 is about 2059.2263110207. The cubic root of 4240413 is about 161.8587016680.

Adding to 4240413 its reverse (3140424), we get a palindrome (7380837).

The spelling of 4240413 in words is "four million, two hundred forty thousand, four hundred thirteen".