4200414 has 16 divisors (see below), whose sum is σ = 8449920. Its totient is φ = 1391960.

The previous prime is 4200403. The next prime is 4200419. The reversal of 4200414 is 4140024.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4200393 and 4200402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200419) 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, 882 + ... + 3029.

It is an arithmetic number, because the mean of its divisors is an integer number (528120).

Almost surely, 2^4200414 is an apocalyptic number.

4200414 is an abundant number, since it is smaller than the sum of its proper divisors (4249506).

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

4200414 is a wasteful number, since it uses less digits than its factorization.

4200414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4095.

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4200414 is about 2049.4911563605. The cubic root of 4200414 is about 161.3481656938.

Adding to 4200414 its reverse (4140024), we get a palindrome (8340438).

The spelling of 4200414 in words is "four million, two hundred thousand, four hundred fourteen".