279496 has 48 divisors (see below), whose sum is σ = 656640. Its totient is φ = 110880.

The previous prime is 279481. The next prime is 279511. The reversal of 279496 is 694972.

279496 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (279481) and next prime (279511).

Its product of digits (27216) is a multiple of the sum of its prime divisors (63).

It is an unprimeable number.

279496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9001 + ... + 9031.

It is an arithmetic number, because the mean of its divisors is an integer number (13680).

2²⁷⁹⁴⁹⁶ 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 279496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328320).

279496 is an abundant number, since it is smaller than the sum of its proper divisors (377144).

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

279496 is a wasteful number, since it uses less digits than its factorization.

279496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 63 counting only the distinct ones).

The product of its digits is 27216, while the sum is 37.

The square root of 279496 is about 528.6738124780. The cubic root of 279496 is about 65.3820498328.

It can be divided in two parts, 279 and 496, that multiplied together give a square (138384 = 372²).

The spelling of 279496 in words is "two hundred seventy-nine thousand, four hundred ninety-six".