279480 has 64 divisors (see below), whose sum is σ = 894240. Its totient is φ = 69632.

The previous prime is 279479. The next prime is 279481. The reversal of 279480 is 84972.

It is an interprime number because it is at equal distance from previous prime (279479) and next prime (279481).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 2⁹ + 7⁵ + 4⁹ + 9 + 8 + 0 .

It is a congruent number.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1972 + ... + 2108.

2²⁷⁹⁴⁸⁰ is an apocalyptic number.

279480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 279480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447120).

279480 is an abundant number, since it is smaller than the sum of its proper divisors (614760).

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

279480 is a wasteful number, since it uses less digits than its factorization.

279480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 279480 is about 528.6586800574. The cubic root of 279480 is about 65.3808021909.

279480 divided by its sum of digits (30) gives a triangular number (9316 = T₁₃₆).

The spelling of 279480 in words is "two hundred seventy-nine thousand, four hundred eighty".