279456 has 48 divisors (see below), whose sum is σ = 762048. Its totient is φ = 89600.

The previous prime is 279451. The next prime is 279479. The reversal of 279456 is 654972.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (279451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3901 + ... + 3971.

It is an arithmetic number, because the mean of its divisors is an integer number (15876).

279456 is a Friedman number, since it can be written as (4+2)^7-96*5, using all its digits and the basic arithmetic operations.

2²⁷⁹⁴⁵⁶ 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 279456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381024).

279456 is an abundant number, since it is smaller than the sum of its proper divisors (482592).

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

279456 is a wasteful number, since it uses less digits than its factorization.

279456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 279456 is about 528.6359806143. The cubic root of 279456 is about 65.3789306388.

It can be divided in two parts, 2794 and 56, that added together give a triangular number (2850 = T₇₅).

The spelling of 279456 in words is "two hundred seventy-nine thousand, four hundred fifty-six".