261412256 has 72 divisors (see below), whose sum is σ = 601779780. Its totient is φ = 111455232.

The previous prime is 261412237. The next prime is 261412259. The reversal of 261412256 is 652214162.

261412256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 259210000 + 2202256 = 16100^2 + 1484^2 .

It is not an unprimeable number, because it can be changed into a prime (261412259) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 459140 + ... + 459708.

Almost surely, 2^261412256 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 261412256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300889890).

261412256 is an abundant number, since it is smaller than the sum of its proper divisors (340367524).

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

261412256 is a wasteful number, since it uses less digits than its factorization.

261412256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 871 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 261412256 is about 16168.2483899772. The cubic root of 261412256 is about 639.4039502630.

The spelling of 261412256 in words is "two hundred sixty-one million, four hundred twelve thousand, two hundred fifty-six".