279488 has 28 divisors (see below), whose sum is σ = 606552. Its totient is φ = 126720.

The previous prime is 279481. The next prime is 279511. The reversal of 279488 is 884972.

It is a super-2 number, since 2×279488² = 156227084288, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2⁹ + 7⁵ + 4⁹ + 9 + 8 + 8 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 279488.

It is not an unprimeable number, because it can be changed into a prime (279481) by changing a digit.

279488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 506 + ... + 902.

2²⁷⁹⁴⁸⁸ 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 279488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303276).

279488 is an abundant number, since it is smaller than the sum of its proper divisors (327064).

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

279488 is a wasteful number, since it uses less digits than its factorization.

279488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 410 counting only the distinct ones).

The product of its digits is 32256, while the sum is 38.

The square root of 279488 is about 528.6662463218. Note that the first 3 decimals coincide. The cubic root of 279488 is about 65.3814260178.

It can be divided in two parts, 2794 and 88, that added together give a palindrome (2882).

The spelling of 279488 in words is "two hundred seventy-nine thousand, four hundred eighty-eight".