4256200 has 48 divisors (see below), whose sum is σ = 10663380. Its totient is φ = 1570560.

The previous prime is 4256191. The next prime is 4256227. The reversal of 4256200 is 26524.

It can be written as a sum of positive squares in 6 ways, for example, as 86436 + 4169764 = 294^2 + 2042^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1782 + ... + 3418.

Almost surely, 2^4256200 is an apocalyptic number.

4256200 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 4256200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5331690).

4256200 is an abundant number, since it is smaller than the sum of its proper divisors (6407180).

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

4256200 is a wasteful number, since it uses less digits than its factorization.

4256200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 4256200 is about 2063.0559856679. The cubic root of 4256200 is about 162.0593188245.

The spelling of 4256200 in words is "four million, two hundred fifty-six thousand, two hundred".