261444224 has 64 divisors (see below), whose sum is σ = 556142760. Its totient is φ = 121995264.

The previous prime is 261444187. The next prime is 261444247. The reversal of 261444224 is 422444162.

It can be written as a sum of positive squares in 4 ways, for example, as 261404224 + 40000 = 16168^2 + 200^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297674 + ... + 298550.

Almost surely, 2^261444224 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 261444224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278071380).

261444224 is an abundant number, since it is smaller than the sum of its proper divisors (294698536).

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

261444224 is a wasteful number, since it uses less digits than its factorization.

261444224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1033 counting only the distinct ones).

The product of its digits is 12288, while the sum is 29.

The square root of 261444224 is about 16169.2369640623. The cubic root of 261444224 is about 639.4300133516.

Adding to 261444224 its reverse (422444162), we get a palindrome (683888386).

The spelling of 261444224 in words is "two hundred sixty-one million, four hundred forty-four thousand, two hundred twenty-four".