256510144 has 56 divisors (see below), whose sum is σ = 587977488. Its totient is φ = 109731840.

The previous prime is 256510139. The next prime is 256510147. The reversal of 256510144 is 441015652.

256510144 = 2772² + 2773² + ... + 2804².

It is not an unprimeable number, because it can be changed into a prime (256510147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1252 + ... + 22684.

It is an arithmetic number, because the mean of its divisors is an integer number (10499598).

Almost surely, 2^256510144 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 256510144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293988744).

256510144 is an abundant number, since it is smaller than the sum of its proper divisors (331467344).

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

256510144 is a wasteful number, since it uses less digits than its factorization.

256510144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21473 (or 21463 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 256510144 is about 16015.9340657983. The cubic root of 256510144 is about 635.3819133942.

Adding to 256510144 its reverse (441015652), we get a palindrome (697525796).

The spelling of 256510144 in words is "two hundred fifty-six million, five hundred ten thousand, one hundred forty-four".