4256800 has 72 divisors (see below), whose sum is σ = 11038356. Its totient is φ = 1597440.

The previous prime is 4256797. The next prime is 4256803. The reversal of 4256800 is 86524.

It is an interprime number because it is at equal distance from previous prime (4256797) and next prime (4256803).

It can be written as a sum of positive squares in 6 ways, for example, as 767376 + 3489424 = 876^2 + 1868^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4256803) 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 11 ways as a sum of consecutive naturals, for example, 13444 + ... + 13756.

Almost surely, 2^4256800 is an apocalyptic number.

4256800 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 4256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5519178).

4256800 is an abundant number, since it is smaller than the sum of its proper divisors (6781556).

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

4256800 is a wasteful number, since it uses less digits than its factorization.

4256800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 4256800 is about 2063.2013958894. The cubic root of 4256800 is about 162.0669336783.

It can be divided in two parts, 425 and 6800, that multiplied together give a square (2890000 = 1700²).

The spelling of 4256800 in words is "four million, two hundred fifty-six thousand, eight hundred".