278352 has 30 divisors (see below), whose sum is σ = 779402. Its totient is φ = 92736.

The previous prime is 278347. The next prime is 278353. The reversal of 278352 is 253872.

It can be written as a sum of positive squares in only one way, i.e., 254016 + 24336 = 504^2 + 156^2 .

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (278353) by changing a digit.

278352 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 5 ways as a sum of consecutive naturals, for example, 823 + ... + 1110.

2²⁷⁸³⁵² is an apocalyptic number.

It is an amenable number.

278352 is an abundant number, since it is smaller than the sum of its proper divisors (501050).

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

278352 is a wasteful number, since it uses less digits than its factorization.

278352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1938 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 278352 is about 527.5907504875. The cubic root of 278352 is about 65.2927231545.

It can be divided in two parts, 278 and 352, that added together give a triangular number (630 = T₃₅).

The spelling of 278352 in words is "two hundred seventy-eight thousand, three hundred fifty-two".