472959 has 10 divisors (see below), whose sum is σ = 706640. Its totient is φ = 315252.

The previous prime is 472939. The next prime is 472963. The reversal of 472959 is 959274.

It is not a de Polignac number, because 472959 - 2⁷ = 472831 is a prime.

It is a Duffinian number.

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 472959.

It is not an unprimeable number, because it can be changed into a prime (472909) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2839 + ... + 3000.

It is an arithmetic number, because the mean of its divisors is an integer number (70664).

2⁴⁷²⁹⁵⁹ is an apocalyptic number.

472959 is a deficient number, since it is larger than the sum of its proper divisors (233681).

472959 is an equidigital number, since it uses as much as digits as its factorization.

472959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5851 (or 5842 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 472959 is about 687.7201465713. The cubic root of 472959 is about 77.9126240511.

It can be divided in two parts, 472 and 959, that added together give a triangular number (1431 = T₅₃).

The spelling of 472959 in words is "four hundred seventy-two thousand, nine hundred fifty-nine".