256314200 has 48 divisors (see below), whose sum is σ = 615168960. Its totient is φ = 99216000.

The previous prime is 256314197. The next prime is 256314203. The reversal of 256314200 is 2413652.

256314200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (256314197) and next prime (256314203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256314203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14471 + ... + 26870.

It is an arithmetic number, because the mean of its divisors is an integer number (12816020).

Almost surely, 2^256314200 is an apocalyptic number.

256314200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256314200 is an abundant number, since it is smaller than the sum of its proper divisors (358854760).

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

256314200 is a wasteful number, since it uses less digits than its factorization.

256314200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41388 (or 41379 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 256314200 is about 16009.8157391021. The cubic root of 256314200 is about 635.2200861513.

Adding to 256314200 its reverse (2413652), we get a palindrome (258727852).

The spelling of 256314200 in words is "two hundred fifty-six million, three hundred fourteen thousand, two hundred".