478900 has 18 divisors (see below), whose sum is σ = 1039430. Its totient is φ = 191520.

The previous prime is 478897. The next prime is 478901. The reversal of 478900 is 9874.

It can be written as a sum of positive squares in 3 ways, for example, as 36 + 478864 = 6^2 + 692^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478901) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 2295 + ... + 2494.

2⁴⁷⁸⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

478900 is an abundant number, since it is smaller than the sum of its proper divisors (560530).

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

478900 is a wasteful number, since it uses less digits than its factorization.

478900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4803 (or 4796 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 478900 is about 692.0260110718. The cubic root of 478900 is about 78.2374965987.

It can be divided in two parts, 478 and 900, that added together give a triangular number (1378 = T₅₂).

The spelling of 478900 in words is "four hundred seventy-eight thousand, nine hundred".