278048160 has 192 divisors, whose sum is σ = 1048239360. Its totient is φ = 68428800.

The previous prime is 278048159. The next prime is 278048161. The reversal of 278048160 is 61840872.

It is an interprime number because it is at equal distance from previous prime (278048159) and next prime (278048161).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (278048161) 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, 53685 + ... + 58635.

It is an arithmetic number, because the mean of its divisors is an integer number (5459580).

Almost surely, 2^278048160 is an apocalyptic number.

278048160 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 278048160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524119680).

278048160 is an abundant number, since it is smaller than the sum of its proper divisors (770191200).

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

278048160 is a wasteful number, since it uses less digits than its factorization.

278048160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4988 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 278048160 is about 16674.7761604167. The cubic root of 278048160 is about 652.6895736658.

The spelling of 278048160 in words is "two hundred seventy-eight million, forty-eight thousand, one hundred sixty".