256901120 has 126 divisors (see below), whose sum is σ = 717225642. Its totient is φ = 88080384.

The previous prime is 256901063. The next prime is 256901143. The reversal of 256901120 is 21109652.

It can be written as a sum of positive squares in only one way, i.e., 205520896 + 51380224 = 14336^2 + 7168^2 .

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 256901120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36700157 + ... + 36700163.

It is an arithmetic number, because the mean of its divisors is an integer number (5692267).

Almost surely, 2^256901120 is an apocalyptic number.

256901120 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 256901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358612821).

256901120 is an abundant number, since it is smaller than the sum of its proper divisors (460324522).

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

256901120 is an frugal number, since it uses more digits than its factorization.

256901120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 256901120 is about 16028.1352627185. The cubic root of 256901120 is about 635.7045685627.

The spelling of 256901120 in words is "two hundred fifty-six million, nine hundred one thousand, one hundred twenty".