278040 has 64 divisors (see below), whose sum is σ = 956160. Its totient is φ = 63360.

The previous prime is 278029. The next prime is 278041. The reversal of 278040 is 40872.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 277998 and 278016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (278041) by changing a digit.

278040 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 15 ways as a sum of consecutive naturals, for example, 675 + ... + 1005.

It is an arithmetic number, because the mean of its divisors is an integer number (14940).

2²⁷⁸⁰⁴⁰ is an apocalyptic number.

278040 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 278040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478080).

278040 is an abundant number, since it is smaller than the sum of its proper divisors (678120).

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

278040 is a wasteful number, since it uses less digits than its factorization.

278040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 278040 is about 527.2949838563. The cubic root of 278040 is about 65.2683188682.

The spelling of 278040 in words is "two hundred seventy-eight thousand, forty".