478400 has 84 divisors (see below), whose sum is σ = 1322832. Its totient is φ = 168960.

The previous prime is 478399. The next prime is 478403. The reversal of 478400 is 4874.

478400 = T₁₈₃ + T₁₈₄ + ... + T₂₀₇.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478403) 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, 20789 + ... + 20811.

It is an arithmetic number, because the mean of its divisors is an integer number (15748).

2⁴⁷⁸⁴⁰⁰ is an apocalyptic number.

478400 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 478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661416).

478400 is an abundant number, since it is smaller than the sum of its proper divisors (844432).

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

478400 is a wasteful number, since it uses less digits than its factorization.

478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 478400 is about 691.6646586316. The cubic root of 478400 is about 78.2102589219.

It can be divided in two parts, 478 and 400, that added together give a palindrome (878).

The spelling of 478400 in words is "four hundred seventy-eight thousand, four hundred".