4280760 has 192 divisors, whose sum is σ = 16174080. Its totient is φ = 971520.

The previous prime is 4280747. The next prime is 4280767. The reversal of 4280760 is 670824.

It is a Cunningham number, because it is equal to 2069²-1.

It is a super-3 number, since 3×4280760³ (a number of 21 digits) contains 333 as substring.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4280767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91057 + ... + 91103.

It is an arithmetic number, because the mean of its divisors is an integer number (84240).

Almost surely, 2^4280760 is an apocalyptic number.

4280760 is a gapful number since it is divisible by the number (40) 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 4280760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8087040).

4280760 is an abundant number, since it is smaller than the sum of its proper divisors (11893320).

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

4280760 is a wasteful number, since it uses less digits than its factorization.

4280760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4280760 is about 2068.9997583373. Note that the first 3 decimals coincide. The cubic root of 4280760 is about 162.3704371597.

The spelling of 4280760 in words is "four million, two hundred eighty thousand, seven hundred sixty".