256213144 has 48 divisors (see below), whose sum is σ = 546310800. Its totient is φ = 112432320.

The previous prime is 256213127. The next prime is 256213147. The reversal of 256213144 is 441312652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256213147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23509 + ... + 32635.

It is an arithmetic number, because the mean of its divisors is an integer number (11381475).

Almost surely, 2^256213144 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 256213144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273155400).

256213144 is an abundant number, since it is smaller than the sum of its proper divisors (290097656).

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

256213144 is a wasteful number, since it uses less digits than its factorization.

256213144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9184 (or 9169 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 256213144 is about 16006.6593641522. The cubic root of 256213144 is about 635.1365932622.

Adding to 256213144 its reverse (441312652), we get a palindrome (697525796).

The spelling of 256213144 in words is "two hundred fifty-six million, two hundred thirteen thousand, one hundred forty-four".