4257760 has 96 divisors (see below), whose sum is σ = 11430720. Its totient is φ = 1486848.

The previous prime is 4257749. The next prime is 4257763. The reversal of 4257760 is 677524.

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 (4257763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47796 + ... + 47884.

It is an arithmetic number, because the mean of its divisors is an integer number (119070).

Almost surely, 2^4257760 is an apocalyptic number.

4257760 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 4257760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715360).

4257760 is an abundant number, since it is smaller than the sum of its proper divisors (7172960).

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

4257760 is a wasteful number, since it uses less digits than its factorization.

4257760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 4257760 is about 2063.4340309300. The cubic root of 4257760 is about 162.0791159563.

The spelling of 4257760 in words is "four million, two hundred fifty-seven thousand, seven hundred sixty".