278764480 has 56 divisors (see below), whose sum is σ = 665408880. Its totient is φ = 111237120.

The previous prime is 278764477. The next prime is 278764481. The reversal of 278764480 is 84467872.

It is a self number, because there is not a number n which added to its sum of digits gives 278764480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (278764481) 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 7 ways as a sum of consecutive naturals, for example, 181315 + ... + 182845.

Almost surely, 2^278764480 is an apocalyptic number.

278764480 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 278764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332704440).

278764480 is an abundant number, since it is smaller than the sum of its proper divisors (386644400).

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

278764480 is a wasteful number, since it uses less digits than its factorization.

278764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 46.

The square root of 278764480 is about 16696.2414932224. The cubic root of 278764480 is about 653.2495889699.

The spelling of 278764480 in words is "two hundred seventy-eight million, seven hundred sixty-four thousand, four hundred eighty".