4257960 has 128 divisors (see below), whose sum is σ = 15102720. Its totient is φ = 940032.

The previous prime is 4257959. The next prime is 4257961. The reversal of 4257960 is 697524.

4257960 = 50² + 51² + ... + 234².

It is an interprime number because it is at equal distance from previous prime (4257959) and next prime (4257961).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4257961) 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, 31012 + ... + 31148.

It is an arithmetic number, because the mean of its divisors is an integer number (117990).

Almost surely, 2^4257960 is an apocalyptic number.

4257960 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 4257960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7551360).

4257960 is an abundant number, since it is smaller than the sum of its proper divisors (10844760).

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

4257960 is a wasteful number, since it uses less digits than its factorization.

4257960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 191 counting only the distinct ones).

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

The square root of 4257960 is about 2063.4824932623. The cubic root of 4257960 is about 162.0816537003.

It can be divided in two parts, 425 and 7960, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 4257960 in words is "four million, two hundred fifty-seven thousand, nine hundred sixty".