478385 has 8 divisors (see below), whose sum is σ = 577896. Its totient is φ = 380160.

The previous prime is 478351. The next prime is 478391. The reversal of 478385 is 583874.

It can be written as a sum of positive squares in 4 ways, for example, as 126736 + 351649 = 356^2 + 593^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 478385 - 2⁶ = 478321 is a prime.

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

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 478385.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1007 + ... + 1403.

It is an arithmetic number, because the mean of its divisors is an integer number (72237).

2⁴⁷⁸³⁸⁵ is an apocalyptic number.

It is an amenable number.

478385 is a deficient number, since it is larger than the sum of its proper divisors (99511).

478385 is a wasteful number, since it uses less digits than its factorization.

478385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643.

The product of its digits is 26880, while the sum is 35.

The square root of 478385 is about 691.6538151417. The cubic root of 478385 is about 78.2094414984.

The spelling of 478385 in words is "four hundred seventy-eight thousand, three hundred eighty-five".