279424 has 32 divisors (see below), whose sum is σ = 581400. Its totient is φ = 133632.

The previous prime is 279421. The next prime is 279431. The reversal of 279424 is 424972.

279424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 2⁵ + 7³ + 4⁷ + 9 + 2⁹ + 4⁹ .

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 279392 and 279401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (279421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4707 + ... + 4765.

279424 is a Friedman number, since it can be written as (4+2)^7-(4-2)^9, using all its digits and the basic arithmetic operations.

2²⁷⁹⁴²⁴ 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 279424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290700).

279424 is an abundant number, since it is smaller than the sum of its proper divisors (301976).

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

279424 is an equidigital number, since it uses as much as digits as its factorization.

279424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 98 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 279424 is about 528.6057131738. The cubic root of 279424 is about 65.3764350692.

It can be divided in two parts, 279 and 424, that added together give a triangular number (703 = T₃₇).

The spelling of 279424 in words is "two hundred seventy-nine thousand, four hundred twenty-four".