279438000480 has 576 divisors, whose sum is σ = 1051191872640. Its totient is φ = 67281027072.

The previous prime is 279438000421. The next prime is 279438000503. The reversal of 279438000480 is 84000834972.

279438000480 is a `hidden beast` number, since 2 + 7 + 94 + 3 + 80 + 0 + 0 + 480 = 666.

It is a super-2 number, since 2×279438000480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118555462 + ... + 118557818.

It is an arithmetic number, because the mean of its divisors is an integer number (1824985890).

Almost surely, 2^279438000480 is an apocalyptic number.

279438000480 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 279438000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525595936320).

279438000480 is an abundant number, since it is smaller than the sum of its proper divisors (771753872160).

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

279438000480 is a wasteful number, since it uses less digits than its factorization.

279438000480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 279438000480 in words is "two hundred seventy-nine billion, four hundred thirty-eight million, four hundred eighty", and thus it is an aban number.