279748560 has 160 divisors (see below), whose sum is σ = 1067431680. Its totient is φ = 59019264.

The previous prime is 279748523. The next prime is 279748561. The reversal of 279748560 is 65847972.

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 (279748561) 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, 15436 + ... + 28244.

It is an arithmetic number, because the mean of its divisors is an integer number (6671448).

Almost surely, 2^279748560 is an apocalyptic number.

279748560 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 279748560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533715840).

279748560 is an abundant number, since it is smaller than the sum of its proper divisors (787683120).

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

279748560 is a wasteful number, since it uses less digits than its factorization.

279748560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12845 (or 12839 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 279748560 is about 16725.6856361705. The cubic root of 279748560 is about 654.0173755542.

The spelling of 279748560 in words is "two hundred seventy-nine million, seven hundred forty-eight thousand, five hundred sixty".