256948200 has 288 divisors, whose sum is σ = 950564160. Its totient is φ = 64281600.

The previous prime is 256948199. The next prime is 256948213. The reversal of 256948200 is 2849652.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 826045 + ... + 826355.

It is an arithmetic number, because the mean of its divisors is an integer number (3300570).

Almost surely, 2^256948200 is an apocalyptic number.

256948200 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 256948200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475282080).

256948200 is an abundant number, since it is smaller than the sum of its proper divisors (693615960).

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

256948200 is a wasteful number, since it uses less digits than its factorization.

256948200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 256948200 is about 16029.6038628533. The cubic root of 256948200 is about 635.7433995119.

The spelling of 256948200 in words is "two hundred fifty-six million, nine hundred forty-eight thousand, two hundred".