478800 has 180 divisors, whose sum is σ = 1998880. Its totient is φ = 103680.

The previous prime is 478787. The next prime is 478801. The reversal of 478800 is 8874.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478801) by changing a digit.

478800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25191 + ... + 25209.

2⁴⁷⁸⁸⁰⁰ is an apocalyptic number.

478800 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 478800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999440).

478800 is an abundant number, since it is smaller than the sum of its proper divisors (1520080).

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

478800 is a wasteful number, since it uses less digits than its factorization.

478800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 478800 is about 691.9537556802. The cubic root of 478800 is about 78.2320505806.

The spelling of 478800 in words is "four hundred seventy-eight thousand, eight hundred".