279844480 has 128 divisors (see below), whose sum is σ = 718794000. Its totient is φ = 104169472.

The previous prime is 279844469. The next prime is 279844489. The reversal of 279844480 is 84448972.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 88962624 + 190881856 = 9432^2 + 13816^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 279844480.

It is not an unprimeable number, because it can be changed into a prime (279844489) 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, 3144276 + ... + 3144364.

Almost surely, 2^279844480 is an apocalyptic number.

279844480 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 279844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359397000).

279844480 is an abundant number, since it is smaller than the sum of its proper divisors (438949520).

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

279844480 is an frugal number, since it uses more digits than its factorization.

279844480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The square root of 279844480 is about 16728.5528363932. The cubic root of 279844480 is about 654.0921166932.

It can be divided in two parts, 2798 and 44480, that added together give a triangular number (47278 = T₃₀₇).

The spelling of 279844480 in words is "two hundred seventy-nine million, eight hundred forty-four thousand, four hundred eighty".