4257360 has 140 divisors (see below), whose sum is σ = 15044052. Its totient is φ = 1119744.

The previous prime is 4257359. The next prime is 4257371. The reversal of 4257360 is 637524.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1971216 + 2286144 = 1404^2 + 1512^2 .

It is a super-2 number, since 2×4257360² = 36250228339200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 58284 + ... + 58356.

Almost surely, 2^4257360 is an apocalyptic number.

4257360 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 4257360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7522026).

4257360 is an abundant number, since it is smaller than the sum of its proper divisors (10786692).

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

4257360 is an equidigital number, since it uses as much as digits as its factorization.

4257360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 4257360 is about 2063.3371028506. The cubic root of 4257360 is about 162.0740402297.

The spelling of 4257360 in words is "four million, two hundred fifty-seven thousand, three hundred sixty".