416225 has 6 divisors (see below), whose sum is σ = 516150. Its totient is φ = 332960.

The previous prime is 416219. The next prime is 416239. The reversal of 416225 is 522614.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 61009 + 355216 = 247^2 + 596^2 .

It is a sliding number, since 416225 = 25600 + 390625 and 1/25600 + 1/390625 = 0.0000416225.

It is not a de Polignac number, because 416225 - 2⁸ = 415969 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 416197 and 416206.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8300 + ... + 8349.

It is an arithmetic number, because the mean of its divisors is an integer number (86025).

2⁴¹⁶²²⁵ is an apocalyptic number.

It is an amenable number.

416225 is a deficient number, since it is larger than the sum of its proper divisors (99925).

416225 is a wasteful number, since it uses less digits than its factorization.

416225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16659 (or 16654 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 416225 is about 645.1550201308. The cubic root of 416225 is about 74.6636792845.

Adding to 416225 its reverse (522614), we get a palindrome (938839).

The spelling of 416225 in words is "four hundred sixteen thousand, two hundred twenty-five".