279400 has 48 divisors (see below), whose sum is σ = 714240. Its totient is φ = 100800.

The previous prime is 279397. The next prime is 279407. The reversal of 279400 is 4972.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (279407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2137 + ... + 2263.

It is an arithmetic number, because the mean of its divisors is an integer number (14880).

2²⁷⁹⁴⁰⁰ is an apocalyptic number.

279400 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 279400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357120).

279400 is an abundant number, since it is smaller than the sum of its proper divisors (434840).

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

279400 is a wasteful number, since it uses less digits than its factorization.

279400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 279400 is about 528.5830114561. The cubic root of 279400 is about 65.3745632670.

Subtracting from 279400 its sum of digits (22), we obtain a triangular number (279378 = T₇₄₇).

The spelling of 279400 in words is "two hundred seventy-nine thousand, four hundred".