256312320 has 352 divisors, whose sum is σ = 940899456. Its totient is φ = 58982400.

The previous prime is 256312313. The next prime is 256312321. The reversal of 256312320 is 23213652.

It is a tau number, because it is divible by the number of its divisors (352).

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 (256312321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6251500 + ... + 6251540.

Almost surely, 2^256312320 is an apocalyptic number.

256312320 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 256312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470449728).

256312320 is an abundant number, since it is smaller than the sum of its proper divisors (684587136).

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

256312320 is a wasteful number, since it uses less digits than its factorization.

256312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 256312320 is about 16009.7570250145. The cubic root of 256312320 is about 635.2185330878.

Adding to 256312320 its reverse (23213652), we get a palindrome (279525972).

The spelling of 256312320 in words is "two hundred fifty-six million, three hundred twelve thousand, three hundred twenty".