279472400 has 60 divisors (see below), whose sum is σ = 687849204. Its totient is φ = 109056000.

The previous prime is 279472399. The next prime is 279472421. The reversal of 279472400 is 4274972.

It is a happy number.

279472400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 9461776 + 270010624 = 3076^2 + 16432^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7880 + ... + 24920.

Almost surely, 2^279472400 is an apocalyptic number.

279472400 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 279472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343924602).

279472400 is an abundant number, since it is smaller than the sum of its proper divisors (408376804).

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

279472400 is a wasteful number, since it uses less digits than its factorization.

279472400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17100 (or 17089 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 279472400 is about 16717.4280318475. The cubic root of 279472400 is about 653.8020954431.

The spelling of 279472400 in words is "two hundred seventy-nine million, four hundred seventy-two thousand, four hundred".