414431125 has 16 divisors (see below), whose sum is σ = 517870080. Its totient is φ = 331122000.

The previous prime is 414431107. The next prime is 414431161. The reversal of 414431125 is 521134414.

It is not a de Polignac number, because 414431125 - 2¹³ = 414422933 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 414431125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128280 + ... + 131470.

It is an arithmetic number, because the mean of its divisors is an integer number (32366880).

Almost surely, 2^414431125 is an apocalyptic number.

It is an amenable number.

414431125 is a deficient number, since it is larger than the sum of its proper divisors (103438955).

414431125 is a wasteful number, since it uses less digits than its factorization.

414431125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4245 (or 4235 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 414431125 is about 20357.5815115647. The cubic root of 414431125 is about 745.5626127174.

Adding to 414431125 its reverse (521134414), we get a palindrome (935565539).

The spelling of 414431125 in words is "four hundred fourteen million, four hundred thirty-one thousand, one hundred twenty-five".