256348144 has 40 divisors (see below), whose sum is σ = 538232912. Its totient is φ = 117573120.

The previous prime is 256348129. The next prime is 256348153. The reversal of 256348144 is 441843652.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30124 + ... + 37684.

Almost surely, 2^256348144 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 256348144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269116456).

256348144 is an abundant number, since it is smaller than the sum of its proper divisors (281884768).

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

256348144 is a wasteful number, since it uses less digits than its factorization.

256348144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7745 (or 7739 counting only the distinct ones).

The product of its digits is 92160, while the sum is 37.

The square root of 256348144 is about 16010.8758036530. The cubic root of 256348144 is about 635.2481259021.

The spelling of 256348144 in words is "two hundred fifty-six million, three hundred forty-eight thousand, one hundred forty-four".