278240 has 48 divisors (see below), whose sum is σ = 689472. Its totient is φ = 105984.

The previous prime is 278237. The next prime is 278261. The reversal of 278240 is 42872.

278240 = T₂₅ + T₂₆ + ... + T₁₁₈.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5897 + ... + 5943.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2²⁷⁸²⁴⁰ is an apocalyptic number.

278240 is a gapful number since it is divisible by the number (20) 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 278240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344736).

278240 is an abundant number, since it is smaller than the sum of its proper divisors (411232).

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

278240 is a wasteful number, since it uses less digits than its factorization.

278240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 91 counting only the distinct ones).

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

The square root of 278240 is about 527.4845969315. The cubic root of 278240 is about 65.2839647406.

The spelling of 278240 in words is "two hundred seventy-eight thousand, two hundred forty".