261456356 has 72 divisors (see below), whose sum is σ = 564754176. Its totient is φ = 105416640.

The previous prime is 261456343. The next prime is 261456361. The reversal of 261456356 is 653654162.

It is a happy number.

261456356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×261456356³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224231 + ... + 225393.

It is an arithmetic number, because the mean of its divisors is an integer number (7843808).

Almost surely, 2^261456356 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 261456356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282377088).

261456356 is an abundant number, since it is smaller than the sum of its proper divisors (303297820).

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

261456356 is a wasteful number, since it uses less digits than its factorization.

261456356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1240 counting only the distinct ones).

The product of its digits is 129600, while the sum is 38.

The square root of 261456356 is about 16169.6121165599. The cubic root of 261456356 is about 639.4399038549.

The spelling of 261456356 in words is "two hundred sixty-one million, four hundred fifty-six thousand, three hundred fifty-six".