278472 has 32 divisors (see below), whose sum is σ = 715680. Its totient is φ = 90240.

The previous prime is 278459. The next prime is 278479. The reversal of 278472 is 274872.

It is a plaindrome in base 13 and base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 278472.

It is not an unprimeable number, because it can be changed into a prime (278479) by changing a digit.

278472 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 7 ways as a sum of consecutive naturals, for example, 843 + ... + 1125.

It is an arithmetic number, because the mean of its divisors is an integer number (22365).

2²⁷⁸⁴⁷² 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 278472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357840).

278472 is an abundant number, since it is smaller than the sum of its proper divisors (437208).

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

278472 is a wasteful number, since it uses less digits than its factorization.

278472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 329 counting only the distinct ones).

The product of its digits is 6272, while the sum is 30.

The square root of 278472 is about 527.7044627441. The cubic root of 278472 is about 65.3021045625.

Subtracting from 278472 its reverse (274872), we obtain a square (3600 = 60²).

The spelling of 278472 in words is "two hundred seventy-eight thousand, four hundred seventy-two".