279828480 has 96 divisors (see below), whose sum is σ = 895330800. Its totient is φ = 74612736.

The previous prime is 279828473. The next prime is 279828487. The reversal of 279828480 is 84828972.

It is an interprime number because it is at equal distance from previous prime (279828473) and next prime (279828487).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×279828480² = 156607956438220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (279828487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26166 + ... + 35274.

Almost surely, 2^279828480 is an apocalyptic number.

279828480 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 279828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447665400).

279828480 is an abundant number, since it is smaller than the sum of its proper divisors (615502320).

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

279828480 is an equidigital number, since it uses as much as digits as its factorization.

279828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9139 (or 9119 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 279828480 is about 16728.0746052856. The cubic root of 279828480 is about 654.0796506343.

The spelling of 279828480 in words is "two hundred seventy-nine million, eight hundred twenty-eight thousand, four hundred eighty".