256234420 has 108 divisors (see below), whose sum is σ = 611083116. Its totient is φ = 90155520.

The previous prime is 256234417. The next prime is 256234423. The reversal of 256234420 is 24432652.

It is an interprime number because it is at equal distance from previous prime (256234417) and next prime (256234423).

It can be written as a sum of positive squares in 6 ways, for example, as 117418896 + 138815524 = 10836^2 + 11782^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256234423) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5958919 + ... + 5958961.

It is an arithmetic number, because the mean of its divisors is an integer number (5658177).

Almost surely, 2^256234420 is an apocalyptic number.

256234420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256234420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305541558).

256234420 is an abundant number, since it is smaller than the sum of its proper divisors (354848696).

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

256234420 is a wasteful number, since it uses less digits than its factorization.

256234420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 256234420 is about 16007.3239487430. The cubic root of 256234420 is about 635.1541734065.

The spelling of 256234420 in words is "two hundred fifty-six million, two hundred thirty-four thousand, four hundred twenty".