473825 has 12 divisors (see below), whose sum is σ = 641328. Its totient is φ = 344400.

The previous prime is 473789. The next prime is 473833. The reversal of 473825 is 528374.

It is a happy number.

It is not a de Polignac number, because 473825 - 2⁶ = 473761 is a prime.

It is a d-powerful number, because it can be written as 4³ + 7⁵ + 8² + 3⁶ + 2¹⁶ + 5⁸ .

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 473825.

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 11 ways as a sum of consecutive naturals, for example, 587 + ... + 1136.

It is an arithmetic number, because the mean of its divisors is an integer number (53444).

2⁴⁷³⁸²⁵ is an apocalyptic number.

It is an amenable number.

473825 is a deficient number, since it is larger than the sum of its proper divisors (167503).

473825 is a wasteful number, since it uses less digits than its factorization.

473825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1739 counting only the distinct ones).

The product of its digits is 6720, while the sum is 29.

The square root of 473825 is about 688.3494751941. The cubic root of 473825 is about 77.9601483912.

The spelling of 473825 in words is "four hundred seventy-three thousand, eight hundred twenty-five".