414225 has 36 divisors (see below), whose sum is σ = 851136. Its totient is φ = 188640.

The previous prime is 414221. The next prime is 414241. The reversal of 414225 is 522414.

It is not a de Polignac number, because 414225 - 2² = 414221 is a prime.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 414198 and 414207.

It is not an unprimeable number, because it can be changed into a prime (414221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1444 + ... + 1706.

2⁴¹⁴²²⁵ is an apocalyptic number.

414225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

414225 is an abundant number, since it is smaller than the sum of its proper divisors (436911).

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

414225 is a wasteful number, since it uses less digits than its factorization.

414225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 278 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 414225 is about 643.6031385877. The cubic root of 414225 is about 74.5438985759.

Adding to 414225 its reverse (522414), we get a palindrome (936639).

The spelling of 414225 in words is "four hundred fourteen thousand, two hundred twenty-five".