414200125 has 16 divisors (see below), whose sum is σ = 518602032. Its totient is φ = 330283200.

The previous prime is 414200113. The next prime is 414200131. The reversal of 414200125 is 521002414.

It can be written as a sum of positive squares in 8 ways, for example, as 114875524 + 299324601 = 10718^2 + 17301^2 .

It is not a de Polignac number, because 414200125 - 2⁹ = 414199613 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34399 + ... + 44851.

It is an arithmetic number, because the mean of its divisors is an integer number (32412627).

Almost surely, 2^414200125 is an apocalyptic number.

It is an amenable number.

414200125 is a deficient number, since it is larger than the sum of its proper divisors (104401907).

414200125 is a wasteful number, since it uses less digits than its factorization.

414200125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10785 (or 10775 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 414200125 is about 20351.9071587898. The cubic root of 414200125 is about 745.4240637830.

Adding to 414200125 its reverse (521002414), we get a palindrome (935202539).

The spelling of 414200125 in words is "four hundred fourteen million, two hundred thousand, one hundred twenty-five".