278384960 has 224 divisors, whose sum is σ = 827105280. Its totient is φ = 87091200.

The previous prime is 278384947. The next prime is 278384963. The reversal of 278384960 is 69483872.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (278384963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1319255 + ... + 1319465.

Almost surely, 2^278384960 is an apocalyptic number.

278384960 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 278384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413552640).

278384960 is an abundant number, since it is smaller than the sum of its proper divisors (548720320).

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

278384960 is a wasteful number, since it uses less digits than its factorization.

278384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The square root of 278384960 is about 16684.8721901008. The cubic root of 278384960 is about 652.9530018308.

The spelling of 278384960 in words is "two hundred seventy-eight million, three hundred eighty-four thousand, nine hundred sixty".