278225280 has 192 divisors, whose sum is σ = 996886800. Its totient is φ = 74151936.

The previous prime is 278225263. The next prime is 278225287. The reversal of 278225280 is 82522872.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (278225287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154626 + ... + 156414.

Almost surely, 2^278225280 is an apocalyptic number.

278225280 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 278225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498443400).

278225280 is an abundant number, since it is smaller than the sum of its proper divisors (718661520).

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

278225280 is an equidigital number, since it uses as much as digits as its factorization.

278225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 278225280 is about 16680.0863307118. The cubic root of 278225280 is about 652.8281346006.

The spelling of 278225280 in words is "two hundred seventy-eight million, two hundred twenty-five thousand, two hundred eighty".