472785 has 16 divisors (see below), whose sum is σ = 775104. Its totient is φ = 245952.

The previous prime is 472763. The next prime is 472793. The reversal of 472785 is 587274.

It is not a de Polignac number, because 472785 - 2⁶ = 472721 is a prime.

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

Its product of digits (15680) is a multiple of the sum of its prime divisors (784).

472785 is a lucky number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 279 + ... + 1011.

It is an arithmetic number, because the mean of its divisors is an integer number (48444).

2⁴⁷²⁷⁸⁵ is an apocalyptic number.

It is an amenable number.

472785 is a deficient number, since it is larger than the sum of its proper divisors (302319).

472785 is a wasteful number, since it uses less digits than its factorization.

472785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784.

The product of its digits is 15680, while the sum is 33.

The square root of 472785 is about 687.5936299879. The cubic root of 472785 is about 77.9030682831.

The spelling of 472785 in words is "four hundred seventy-two thousand, seven hundred eighty-five".