478000 has 40 divisors (see below), whose sum is σ = 1160640. Its totient is φ = 190400.

The previous prime is 477991. The next prime is 478001. The reversal of 478000 is 874.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1881 + ... + 2119.

It is an arithmetic number, because the mean of its divisors is an integer number (29016).

2⁴⁷⁸⁰⁰⁰ is an apocalyptic number.

478000 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 478000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580320).

478000 is an abundant number, since it is smaller than the sum of its proper divisors (682640).

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

478000 is a wasteful number, since it uses less digits than its factorization.

478000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 478000 is about 691.3754406977. The cubic root of 478000 is about 78.1884551129.

Adding to 478000 its reverse (874), we get a palindrome (478874).

The spelling of 478000 in words is "four hundred seventy-eight thousand".