278480 has 30 divisors (see below), whose sum is σ = 658626. Its totient is φ = 109504.

The previous prime is 278479. The next prime is 278489. The reversal of 278480 is 84872.

It can be written as a sum of positive squares in only one way, i.e., 222784 + 55696 = 472^2 + 236^2 .

It is a super-2 number, since 2×278480² = 155102220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (278489) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4691 + ... + 4749.

2²⁷⁸⁴⁸⁰ is an apocalyptic number.

278480 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 278480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329313).

278480 is an abundant number, since it is smaller than the sum of its proper divisors (380146).

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

278480 is an equidigital number, since it uses as much as digits as its factorization.

278480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 278480 is about 527.7120426900. The cubic root of 278480 is about 65.3027298939.

The spelling of 278480 in words is "two hundred seventy-eight thousand, four hundred eighty".