4295760 has 80 divisors (see below), whose sum is σ = 15225216. Its totient is φ = 981504.

The previous prime is 4295723. The next prime is 4295761. The reversal of 4295760 is 675924.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4295761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402 + ... + 2958.

Almost surely, 2^4295760 is an apocalyptic number.

4295760 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 4295760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7612608).

4295760 is an abundant number, since it is smaller than the sum of its proper divisors (10929456).

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

4295760 is a wasteful number, since it uses less digits than its factorization.

4295760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 4295760 is about 2072.6215284031. The cubic root of 4295760 is about 162.5598674875.

The spelling of 4295760 in words is "four million, two hundred ninety-five thousand, seven hundred sixty".