261417330 has 96 divisors (see below), whose sum is σ = 731725488. Its totient is φ = 64512000.

The previous prime is 261417329. The next prime is 261417349. The reversal of 261417330 is 33714162.

261417330 is a `hidden beast` number, since 2 + 614 + 17 + 3 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 75012921 + 186404409 = 8661^2 + 13653^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 261417294 and 261417303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91930 + ... + 94730.

Almost surely, 2^261417330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261417330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365862744).

261417330 is an abundant number, since it is smaller than the sum of its proper divisors (470308158).

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

261417330 is a wasteful number, since it uses less digits than its factorization.

261417330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 261417330 is about 16168.4053016987. The cubic root of 261417330 is about 639.4080871701.

The spelling of 261417330 in words is "two hundred sixty-one million, four hundred seventeen thousand, three hundred thirty".