261213460 has 48 divisors (see below), whose sum is σ = 565785360. Its totient is φ = 101237760.

The previous prime is 261213457. The next prime is 261213467. The reversal of 261213460 is 64312162.

261213460 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 8 ways, for example, as 3225616 + 257987844 = 1796^2 + 16062^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261213467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127726 + ... + 129754.

It is an arithmetic number, because the mean of its divisors is an integer number (11787195).

Almost surely, 2^261213460 is an apocalyptic number.

261213460 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 261213460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282892680).

261213460 is an abundant number, since it is smaller than the sum of its proper divisors (304571900).

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

261213460 is a wasteful number, since it uses less digits than its factorization.

261213460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 261213460 is about 16162.0994923308. The cubic root of 261213460 is about 639.2418267975.

The spelling of 261213460 in words is "two hundred sixty-one million, two hundred thirteen thousand, four hundred sixty".