472953 has 16 divisors (see below), whose sum is σ = 693056. Its totient is φ = 285120.

The previous prime is 472939. The next prime is 472963. The reversal of 472953 is 359274.

It is not a de Polignac number, because 472953 - 2⁴ = 472937 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

472953 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 472953.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472953.

It is not an unprimeable number, because it can be changed into a prime (472963) 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 15 ways as a sum of consecutive naturals, for example, 2523 + ... + 2703.

It is an arithmetic number, because the mean of its divisors is an integer number (43316).

2⁴⁷²⁹⁵³ is an apocalyptic number.

It is an amenable number.

472953 is a deficient number, since it is larger than the sum of its proper divisors (220103).

472953 is a wasteful number, since it uses less digits than its factorization.

472953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264.

The product of its digits is 7560, while the sum is 30.

The square root of 472953 is about 687.7157843179. The cubic root of 472953 is about 77.9122945809.

The spelling of 472953 in words is "four hundred seventy-two thousand, nine hundred fifty-three".