256701312 has 256 divisors, whose sum is σ = 883238400. Its totient is φ = 72783360.

The previous prime is 256701311. The next prime is 256701317. The reversal of 256701312 is 213107652.

It is a happy number.

256701312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256701311) 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, 1959487 + ... + 1959617.

It is an arithmetic number, because the mean of its divisors is an integer number (3450150).

Almost surely, 2^256701312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256701312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441619200).

256701312 is an abundant number, since it is smaller than the sum of its proper divisors (626537088).

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

256701312 is an frugal number, since it uses more digits than its factorization.

256701312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 256701312 is about 16021.9010108039. The cubic root of 256701312 is about 635.5397168060.

Adding to 256701312 its reverse (213107652), we get a palindrome (469808964).

The spelling of 256701312 in words is "two hundred fifty-six million, seven hundred one thousand, three hundred twelve".