472088225 has 48 divisors (see below), whose sum is σ = 711597312. Its totient is φ = 303663360.

The previous prime is 472088219. The next prime is 472088273. The reversal of 472088225 is 522880274.

It is a happy number.

It is not a de Polignac number, because 472088225 - 2²⁴ = 455311009 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212219 + ... + 214431.

It is an arithmetic number, because the mean of its divisors is an integer number (14824944).

Almost surely, 2^472088225 is an apocalyptic number.

It is an amenable number.

472088225 is a deficient number, since it is larger than the sum of its proper divisors (239509087).

472088225 is a wasteful number, since it uses less digits than its factorization.

472088225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The square root of 472088225 is about 21727.5913299197. The cubic root of 472088225 is about 778.6477913966.

The spelling of 472088225 in words is "four hundred seventy-two million, eighty-eight thousand, two hundred twenty-five".