405225 has 18 divisors (see below), whose sum is σ = 726206. Its totient is φ = 216000.

The previous prime is 405221. The next prime is 405227. The reversal of 405225 is 522504.

It is a Cunningham number, because it is equal to 74³+1.

It can be written as a sum of positive squares in 3 ways, for example, as 729 + 404496 = 27^2 + 636^2 .

It is not a de Polignac number, because 405225 - 2² = 405221 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 405198 and 405207.

It is not an unprimeable number, because it can be changed into a prime (405221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 676 + ... + 1125.

2⁴⁰⁵²²⁵ is an apocalyptic number.

405225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

405225 is a deficient number, since it is larger than the sum of its proper divisors (320981).

405225 is a wasteful number, since it uses less digits than its factorization.

405225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 405225 is about 636.5728552177. The cubic root of 405225 is about 74.0000608716. Note that the first 4 decimals are identical.

Adding to 405225 its reverse (522504), we get a palindrome (927729).

It can be divided in two parts, 405 and 225, that multiplied together give a cube (91125 = 45³).

The spelling of 405225 in words is "four hundred five thousand, two hundred twenty-five".