261284352 has 160 divisors (see below), whose sum is σ = 838041600. Its totient is φ = 70668288.

The previous prime is 261284351. The next prime is 261284377. The reversal of 261284352 is 253482162.

It is not an unprimeable number, because it can be changed into a prime (261284351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203649 + ... + 204927.

It is an arithmetic number, because the mean of its divisors is an integer number (5237760).

Almost surely, 2^261284352 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 261284352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419020800).

261284352 is an abundant number, since it is smaller than the sum of its proper divisors (576757248).

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

261284352 is a wasteful number, since it uses less digits than its factorization.

261284352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1310 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 261284352 is about 16164.2924992095. The cubic root of 261284352 is about 639.2996505566.

The spelling of 261284352 in words is "two hundred sixty-one million, two hundred eighty-four thousand, three hundred fifty-two".