256315200 has 168 divisors, whose sum is σ = 854549472. Its totient is φ = 67246080.

The previous prime is 256315193. The next prime is 256315201. The reversal of 256315200 is 2513652.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256315201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321202 + ... + 321998.

It is an arithmetic number, because the mean of its divisors is an integer number (5086604).

Almost surely, 2^256315200 is an apocalyptic number.

256315200 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 256315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427274736).

256315200 is an abundant number, since it is smaller than the sum of its proper divisors (598234272).

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

256315200 is a wasteful number, since it uses less digits than its factorization.

256315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 256315200 is about 16009.8469699120. The cubic root of 256315200 is about 635.2209122458.

Adding to 256315200 its reverse (2513652), we get a palindrome (258828852).

The spelling of 256315200 in words is "two hundred fifty-six million, three hundred fifteen thousand, two hundred".