279990 has 64 divisors (see below), whose sum is σ = 803520. Its totient is φ = 69120.

The previous prime is 279977. The next prime is 279991. The reversal of 279990 is 99972.

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 279990.

It is not an unprimeable number, because it can be changed into a prime (279991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4560 + ... + 4620.

It is an arithmetic number, because the mean of its divisors is an integer number (12555).

2²⁷⁹⁹⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 279990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401760).

279990 is an abundant number, since it is smaller than the sum of its proper divisors (523530).

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

279990 is a wasteful number, since it uses less digits than its factorization.

279990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 279990 is about 529.1408130167. The cubic root of 279990 is about 65.4205473692.

The spelling of 279990 in words is "two hundred seventy-nine thousand, nine hundred ninety".