278920 has 32 divisors (see below), whose sum is σ = 662400. Its totient is φ = 105408.

The previous prime is 278917. The next prime is 278947. The reversal of 278920 is 29872.

It is a plaindrome in base 15.

It is a zygodrome in base 6.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 577 + ... + 943.

It is an arithmetic number, because the mean of its divisors is an integer number (20700).

2²⁷⁸⁹²⁰ is an apocalyptic number.

278920 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 278920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331200).

278920 is an abundant number, since it is smaller than the sum of its proper divisors (383480).

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

278920 is a wasteful number, since it uses less digits than its factorization.

278920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 278920 is about 528.1287721759. The cubic root of 278920 is about 65.3371046923.

It can be divided in two parts, 2789 and 20, that added together give a square (2809 = 53²).

The spelling of 278920 in words is "two hundred seventy-eight thousand, nine hundred twenty".