278752 has 24 divisors (see below), whose sum is σ = 568512. Its totient is φ = 134400.

The previous prime is 278743. The next prime is 278753. The reversal of 278752 is 257872.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (278753) by changing a digit.

278752 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 852 + ... + 1132.

It is an arithmetic number, because the mean of its divisors is an integer number (23688).

2²⁷⁸⁷⁵² 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 278752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284256).

278752 is an abundant number, since it is smaller than the sum of its proper divisors (289760).

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

278752 is a wasteful number, since it uses less digits than its factorization.

278752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 314 counting only the distinct ones).

The product of its digits is 7840, while the sum is 31.

The square root of 278752 is about 527.9696961001. The cubic root of 278752 is about 65.3239840386.

The spelling of 278752 in words is "two hundred seventy-eight thousand, seven hundred fifty-two".