256642200 has 144 divisors (see below), whose sum is σ = 912698280. Its totient is φ = 64404480.

The previous prime is 256642181. The next prime is 256642201. The reversal of 256642200 is 2246652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256642201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26407 + ... + 34793.

Almost surely, 2^256642200 is an apocalyptic number.

256642200 is a gapful number since it is divisible by the number (20) 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 256642200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456349140).

256642200 is an abundant number, since it is smaller than the sum of its proper divisors (656056080).

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

256642200 is a wasteful number, since it uses less digits than its factorization.

256642200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8426 (or 8414 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 256642200 is about 16020.0561796768. The cubic root of 256642200 is about 635.4909300046.

Adding to 256642200 its reverse (2246652), we get a palindrome (258888852).

The spelling of 256642200 in words is "two hundred fifty-six million, six hundred forty-two thousand, two hundred".