472166225 has 12 divisors (see below), whose sum is σ = 585831180. Its totient is φ = 377510400.

The previous prime is 472166171. The next prime is 472166243. The reversal of 472166225 is 522661274.

472166225 = 2472² + 2473² + ... + 2546².

It can be written as a sum of positive squares in 6 ways, for example, as 80442961 + 391723264 = 8969^2 + 19792^2 .

It is not a de Polignac number, because 472166225 - 2⁶ = 472166161 is a prime.

It is a Curzon number.

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, 47705 + ... + 56745.

It is an arithmetic number, because the mean of its divisors is an integer number (48819265).

Almost surely, 2^472166225 is an apocalyptic number.

It is an amenable number.

472166225 is a deficient number, since it is larger than the sum of its proper divisors (113664955).

472166225 is a wasteful number, since it uses less digits than its factorization.

472166225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11140 (or 11135 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 472166225 is about 21729.3862085426. The cubic root of 472166225 is about 778.6906726350.

The spelling of 472166225 in words is "four hundred seventy-two million, one hundred sixty-six thousand, two hundred twenty-five".