478125 has 36 divisors (see below), whose sum is σ = 914004. Its totient is φ = 240000.

The previous prime is 478111. The next prime is 478129. The reversal of 478125 is 521874.

It can be written as a sum of positive squares in 6 ways, for example, as 335241 + 142884 = 579^2 + 378^2 .

It is not a de Polignac number, because 478125 - 2¹² = 474029 is a prime.

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

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 478125.

It is not an unprimeable number, because it can be changed into a prime (478129) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28117 + ... + 28133.

It is an arithmetic number, because the mean of its divisors is an integer number (25389).

478125 is a Friedman number, since it can be written as 85*(71+4)^2, using all its digits and the basic arithmetic operations.

2⁴⁷⁸¹²⁵ is an apocalyptic number.

478125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

478125 is a deficient number, since it is larger than the sum of its proper divisors (435879).

478125 is an equidigital number, since it uses as much as digits as its factorization.

478125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 25 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 478125 is about 691.4658342970. The cubic root of 478125 is about 78.1952701094.

Adding to 478125 its reverse (521874), we get a palindrome (999999).

The spelling of 478125 in words is "four hundred seventy-eight thousand, one hundred twenty-five".