478200 has 48 divisors (see below), whose sum is σ = 1484280. Its totient is φ = 127360.

The previous prime is 478199. The next prime is 478207. The reversal of 478200 is 2874.

It is a happy number.

It is an Ulam 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 478200.

It is not an unprimeable number, because it can be changed into a prime (478207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202 + ... + 998.

2⁴⁷⁸²⁰⁰ is an apocalyptic number.

478200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742140).

478200 is an abundant number, since it is smaller than the sum of its proper divisors (1006080).

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

478200 is a wasteful number, since it uses less digits than its factorization.

478200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 478200 is about 691.5200647848. The cubic root of 478200 is about 78.1993585372.

The spelling of 478200 in words is "four hundred seventy-eight thousand, two hundred".