261456 has 40 divisors (see below), whose sum is σ = 729120. Its totient is φ = 80256.

The previous prime is 261451. The next prime is 261463. The reversal of 261456 is 654162.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 4 and base 8.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261451) by changing a digit.

261456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 415 + ... + 833.

It is an arithmetic number, because the mean of its divisors is an integer number (18228).

2²⁶¹⁴⁵⁶ is an apocalyptic number.

261456 is a gapful number since it is divisible by the number (26) 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 261456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364560).

261456 is an abundant number, since it is smaller than the sum of its proper divisors (467664).

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

261456 is a wasteful number, since it uses less digits than its factorization.

261456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 437 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 261456 is about 511.3276835846. The cubic root of 261456 is about 63.9439613634.

It can be divided in two parts, 261 and 456, that added together give a palindrome (717).

The spelling of 261456 in words is "two hundred sixty-one thousand, four hundred fifty-six".