278643456 has 288 divisors, whose sum is σ = 1016440320. Its totient is φ = 73322496.

The previous prime is 278643451. The next prime is 278643467. The reversal of 278643456 is 654346872.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (278643451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628771 + ... + 629213.

Almost surely, 2^278643456 is an apocalyptic number.

278643456 is a gapful number since it is divisible by the number (26) 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 278643456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508220160).

278643456 is an abundant number, since it is smaller than the sum of its proper divisors (737796864).

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

278643456 is a wasteful number, since it uses less digits than its factorization.

278643456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 468 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 278643456 is about 16692.6168110336. The cubic root of 278643456 is about 653.1550404320.

The spelling of 278643456 in words is "two hundred seventy-eight million, six hundred forty-three thousand, four hundred fifty-six".