472009 has 4 divisors (see below), whose sum is σ = 484804. Its totient is φ = 459216.

The previous prime is 471997. The next prime is 472019. The reversal of 472009 is 900274.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 900274 = 2 ⋅450137.

It can be written as a sum of positive squares in 2 ways, for example, as 356409 + 115600 = 597^2 + 340^2 .

It is a cyclic number.

It is not a de Polignac number, because 472009 - 2¹⁷ = 340937 is a prime.

It is a Duffinian number.

472009 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (472019) 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 3 ways as a sum of consecutive naturals, for example, 6342 + ... + 6415.

It is an arithmetic number, because the mean of its divisors is an integer number (121201).

2⁴⁷²⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

472009 is a deficient number, since it is larger than the sum of its proper divisors (12795).

472009 is a wasteful number, since it uses less digits than its factorization.

472009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12794.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 472009 is about 687.0291114647. The cubic root of 472009 is about 77.8604231867.

The spelling of 472009 in words is "four hundred seventy-two thousand, nine".