278944 has 24 divisors (see below), whose sum is σ = 574560. Its totient is φ = 133056.

The previous prime is 278917. The next prime is 278947. The reversal of 278944 is 449872.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (278947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 547 + ... + 925.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

2²⁷⁸⁹⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 278944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287280).

278944 is an abundant number, since it is smaller than the sum of its proper divisors (295616).

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

278944 is a wasteful number, since it uses less digits than its factorization.

278944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 404 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 278944 is about 528.1514934183. The cubic root of 278944 is about 65.3389786413.

The spelling of 278944 in words is "two hundred seventy-eight thousand, nine hundred forty-four".