472225 has 12 divisors (see below), whose sum is σ = 631036. Its totient is φ = 348480.

The previous prime is 472193. The next prime is 472247. The reversal of 472225 is 522274.

It can be written as a sum of positive squares in 6 ways, for example, as 256 + 471969 = 16^2 + 687^2 .

It is not a de Polignac number, because 472225 - 2⁵ = 472193 is a prime.

It is a hoax number, since the sum of its digits (22) 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 = 472196 and 472205.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 402 + ... + 1051.

2⁴⁷²²²⁵ is an apocalyptic number.

It is an amenable number.

472225 is a deficient number, since it is larger than the sum of its proper divisors (158811).

472225 is a wasteful number, since it uses less digits than its factorization.

472225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1471 counting only the distinct ones).

The product of its digits is 1120, while the sum is 22.

The square root of 472225 is about 687.1862920635. The cubic root of 472225 is about 77.8722981628.

Adding to 472225 its reverse (522274), we get a palindrome (994499).

The spelling of 472225 in words is "four hundred seventy-two thousand, two hundred twenty-five".