478280 has 32 divisors (see below), whose sum is σ = 1175040. Its totient is φ = 173760.

The previous prime is 478273. The next prime is 478321. The reversal of 478280 is 82874.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

478280 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 7 ways as a sum of consecutive naturals, for example, 104 + ... + 983.

It is an arithmetic number, because the mean of its divisors is an integer number (36720).

2⁴⁷⁸²⁸⁰ is an apocalyptic number.

478280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

478280 is an abundant number, since it is smaller than the sum of its proper divisors (696760).

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

478280 is a wasteful number, since it uses less digits than its factorization.

478280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 478280 is about 691.5779059513. The cubic root of 478280 is about 78.2037190557.

The spelling of 478280 in words is "four hundred seventy-eight thousand, two hundred eighty".