279248256 has 384 divisors, whose sum is σ = 1025589600. Its totient is φ = 74317824.

The previous prime is 279248251. The next prime is 279248261. The reversal of 279248256 is 652842972.

It is an interprime number because it is at equal distance from previous prime (279248251) and next prime (279248261).

It is a tau number, because it is divible by the number of its divisors (384).

Its product of digits (483840) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (279248251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2878800 + ... + 2878896.

Almost surely, 2^279248256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 279248256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512794800).

279248256 is an abundant number, since it is smaller than the sum of its proper divisors (746341344).

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

279248256 is a wasteful number, since it uses less digits than its factorization.

279248256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 126 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 279248256 is about 16710.7227850862. The cubic root of 279248256 is about 653.6272600364.

The spelling of 279248256 in words is "two hundred seventy-nine million, two hundred forty-eight thousand, two hundred fifty-six".