256972800 has 288 divisors, whose sum is σ = 974937600. Its totient is φ = 58490880.

The previous prime is 256972787. The next prime is 256972801. The reversal of 256972800 is 8279652.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256972801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1075081 + ... + 1075319.

It is an arithmetic number, because the mean of its divisors is an integer number (3385200).

Almost surely, 2^256972800 is an apocalyptic number.

256972800 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 256972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487468800).

256972800 is an abundant number, since it is smaller than the sum of its proper divisors (717964800).

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

256972800 is a wasteful number, since it uses less digits than its factorization.

256972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 256972800 is about 16030.3711747420. The cubic root of 256972800 is about 635.7636873735.

The spelling of 256972800 in words is "two hundred fifty-six million, nine hundred seventy-two thousand, eight hundred".