4257800 has 48 divisors (see below), whose sum is σ = 10090500. Its totient is φ = 1670400.

The previous prime is 4257787. The next prime is 4257821. The reversal of 4257800 is 87524.

It can be written as a sum of positive squares in 6 ways, for example, as 850084 + 3407716 = 922^2 + 1846^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4257800.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 12026 + ... + 12374.

Almost surely, 2^4257800 is an apocalyptic number.

4257800 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 4257800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045250).

4257800 is an abundant number, since it is smaller than the sum of its proper divisors (5832700).

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

4257800 is a wasteful number, since it uses less digits than its factorization.

4257800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 4257800 is about 2063.4437234875. The cubic root of 4257800 is about 162.0796235114.

The spelling of 4257800 in words is "four million, two hundred fifty-seven thousand, eight hundred".