472509 has 6 divisors (see below), whose sum is σ = 682526. Its totient is φ = 315000.

The previous prime is 472477. The next prime is 472523. The reversal of 472509 is 905274.

It can be written as a sum of positive squares in only one way, i.e., 363609 + 108900 = 603^2 + 330^2 .

It is not a de Polignac number, because 472509 - 2⁵ = 472477 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a zygodrome in base 3.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472509.

It is not an unprimeable number, because it can be changed into a prime (472559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26242 + ... + 26259.

2⁴⁷²⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

472509 is a deficient number, since it is larger than the sum of its proper divisors (210017).

472509 is a wasteful number, since it uses less digits than its factorization.

472509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52507 (or 52504 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 472509 is about 687.3929007489. The cubic root of 472509 is about 77.8879060479.

It can be divided in two parts, 47 and 2509, that added together give a triangular number (2556 = T₇₁).

The spelling of 472509 in words is "four hundred seventy-two thousand, five hundred nine".