256144842 has 48 divisors (see below), whose sum is σ = 585355680. Its totient is φ = 83925072.

The previous prime is 256144841. The next prime is 256144843. The reversal of 256144842 is 248441652.

It is an interprime number because it is at equal distance from previous prime (256144841) and next prime (256144843).

It is a super-2 number, since 2×256144842² = 131220360166409928, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 256144797 and 256144806.

It is not an unprimeable number, because it can be changed into a prime (256144841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24208 + ... + 33140.

It is an arithmetic number, because the mean of its divisors is an integer number (12194910).

Almost surely, 2^256144842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256144842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292677840).

256144842 is an abundant number, since it is smaller than the sum of its proper divisors (329210838).

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

256144842 is an equidigital number, since it uses as much as digits as its factorization.

256144842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9009 (or 8997 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 256144842 is about 16004.5256724465. The cubic root of 256144842 is about 635.0801494301.

The spelling of 256144842 in words is "two hundred fifty-six million, one hundred forty-four thousand, eight hundred forty-two".