472932009 has 27 divisors (see below), whose sum is σ = 752012989. Its totient is φ = 286190520.

The previous prime is 472931989. The next prime is 472932011. The reversal of 472932009 is 900239274.

The square root of 472932009 is 21747.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 472932009 - 2¹⁵ = 472899241 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (472932079) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 717322 + ... + 717980.

Almost surely, 2^472932009 is an apocalyptic number.

472932009 is the 21747-th square number.

472932009 is the 10874-th centered octagonal number.

It is an amenable number.

472932009 is a deficient number, since it is larger than the sum of its proper divisors (279080980).

472932009 is an equidigital number, since it uses as much as digits as its factorization.

472932009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The cubic root of 472932009 is about 779.1114190739. Note that the first 3 decimals are identical.

Multiplying 472932009 by its sum of digits (36), we get a square (17025552324 = 130482²).

The spelling of 472932009 in words is "four hundred seventy-two million, nine hundred thirty-two thousand, nine".