412225 has 12 divisors (see below), whose sum is σ = 558000. Its totient is φ = 299600.

The previous prime is 412219. The next prime is 412249. The reversal of 412225 is 522214.

It is not a de Polignac number, because 412225 - 2⁵ = 412193 is a prime.

It is an Ulam number.

412225 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 412199 and 412208.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 475 + ... + 1024.

It is an arithmetic number, because the mean of its divisors is an integer number (46500).

2⁴¹²²²⁵ is an apocalyptic number.

It is an amenable number.

412225 is a deficient number, since it is larger than the sum of its proper divisors (145775).

412225 is a wasteful number, since it uses less digits than its factorization.

412225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1515 counting only the distinct ones).

The product of its digits is 160, while the sum is 16.

The square root of 412225 is about 642.0475060305. The cubic root of 412225 is about 74.4237316863.

Adding to 412225 its reverse (522214), we get a palindrome (934439).

The spelling of 412225 in words is "four hundred twelve thousand, two hundred twenty-five".