278248560 has 160 divisors (see below), whose sum is σ = 899942400. Its totient is φ = 71040000.

The previous prime is 278248517. The next prime is 278248561. The reversal of 278248560 is 65842872.

It is a happy number.

It is a super-2 number, since 2×278248560² = 154844522284147200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (278248561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1108435 + ... + 1108685.

It is an arithmetic number, because the mean of its divisors is an integer number (5624640).

Almost surely, 2^278248560 is an apocalyptic number.

278248560 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 278248560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449971200).

278248560 is an abundant number, since it is smaller than the sum of its proper divisors (621693840).

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

278248560 is a wasteful number, since it uses less digits than its factorization.

278248560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 278248560 is about 16680.7841542297. The cubic root of 278248560 is about 652.8463421662.

The spelling of 278248560 in words is "two hundred seventy-eight million, two hundred forty-eight thousand, five hundred sixty".