414013425 has 96 divisors (see below), whose sum is σ = 822804480. Its totient is φ = 179692800.

The previous prime is 414013423. The next prime is 414013429. The reversal of 414013425 is 524310414.

It is not a de Polignac number, because 414013425 - 2¹ = 414013423 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414013395 and 414013404.

It is not an unprimeable number, because it can be changed into a prime (414013423) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1080784 + ... + 1081166.

It is an arithmetic number, because the mean of its divisors is an integer number (8570880).

Almost surely, 2^414013425 is an apocalyptic number.

It is an amenable number.

414013425 is a deficient number, since it is larger than the sum of its proper divisors (408791055).

414013425 is a wasteful number, since it uses less digits than its factorization.

414013425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 414013425 is about 20347.3198480783. The cubic root of 414013425 is about 745.3120474091.

Adding to 414013425 its reverse (524310414), we get a palindrome (938323839).

The spelling of 414013425 in words is "four hundred fourteen million, thirteen thousand, four hundred twenty-five".