261402912 has 288 divisors, whose sum is σ = 855429120. Its totient is φ = 75271680.

The previous prime is 261402907. The next prime is 261402913. The reversal of 261402912 is 219204162.

261402912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (261402913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3901503 + ... + 3901569.

It is an arithmetic number, because the mean of its divisors is an integer number (2970240).

Almost surely, 2^261402912 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 261402912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427714560).

261402912 is an abundant number, since it is smaller than the sum of its proper divisors (594026208).

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

261402912 is a wasteful number, since it uses less digits than its factorization.

261402912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 261402912 is about 16167.9594259758. The cubic root of 261402912 is about 639.3963318218.

It can be divided in two parts, 2614029 and 12, that added together give a triangular number (2614041 = T₂₂₈₆).

The spelling of 261402912 in words is "two hundred sixty-one million, four hundred two thousand, nine hundred twelve".