278304 has 48 divisors (see below), whose sum is σ = 790272. Its totient is φ = 85248.

The previous prime is 278279. The next prime is 278321. The reversal of 278304 is 403872.

278304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×278304³ = 64666536333115392, which contains 333 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

278304 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, 1137 + ... + 1359.

It is an arithmetic number, because the mean of its divisors is an integer number (16464).

2²⁷⁸³⁰⁴ is an apocalyptic number.

278304 is a gapful number since it is divisible by the number (24) 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 278304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395136).

278304 is an abundant number, since it is smaller than the sum of its proper divisors (511968).

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

278304 is a wasteful number, since it uses less digits than its factorization.

278304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 278304 is about 527.5452587219. The cubic root of 278304 is about 65.2889698363.

The spelling of 278304 in words is "two hundred seventy-eight thousand, three hundred four".