279982920 has 128 divisors (see below), whose sum is σ = 966816000. Its totient is φ = 63538176.

The previous prime is 279982909. The next prime is 279982921. The reversal of 279982920 is 29289972.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 279982920.

It is not an unprimeable number, because it can be changed into a prime (279982921) 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, 124042 + ... + 126278.

It is an arithmetic number, because the mean of its divisors is an integer number (7553250).

Almost surely, 2^279982920 is an apocalyptic number.

279982920 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 279982920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483408000).

279982920 is an abundant number, since it is smaller than the sum of its proper divisors (686833080).

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

279982920 is a wasteful number, since it uses less digits than its factorization.

279982920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 279982920 is about 16732.6901602821. The cubic root of 279982920 is about 654.1999594309.

The spelling of 279982920 in words is "two hundred seventy-nine million, nine hundred eighty-two thousand, nine hundred twenty".