478485 has 48 divisors (see below), whose sum is σ = 998400. Its totient is φ = 211680.

The previous prime is 478483. The next prime is 478493. The reversal of 478485 is 584874.

It is not a de Polignac number, because 478485 - 2¹ = 478483 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

478485 is a lucky 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 478485.

It is not an unprimeable number, because it can be changed into a prime (478481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15420 + ... + 15450.

It is an arithmetic number, because the mean of its divisors is an integer number (20800).

2⁴⁷⁸⁴⁸⁵ is an apocalyptic number.

478485 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

478485 is an abundant number, since it is smaller than the sum of its proper divisors (519915).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

478485 is a wasteful number, since it uses less digits than its factorization.

478485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 46 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 478485 is about 691.7261018640. The cubic root of 478485 is about 78.2148906654.

The spelling of 478485 in words is "four hundred seventy-eight thousand, four hundred eighty-five".