259666407 has 192 divisors, whose sum is σ = 557706240. Its totient is φ = 111974400.

The previous prime is 259666403. The next prime is 259666409. The reversal of 259666407 is 704666952.

It is not a de Polignac number, because 259666407 - 2² = 259666403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259666403) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6333307 + ... + 6333347.

It is an arithmetic number, because the mean of its divisors is an integer number (2904720).

Almost surely, 2^259666407 is an apocalyptic number.

259666407 is an abundant number, since it is smaller than the sum of its proper divisors (298039833).

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

259666407 is a wasteful number, since it uses less digits than its factorization.

259666407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 259666407 is about 16114.1678966058. The cubic root of 259666407 is about 637.9773439870.

It can be divided in two parts, 259 and 666407, that added together give a palindrome (666666).

The spelling of 259666407 in words is "two hundred fifty-nine million, six hundred sixty-six thousand, four hundred seven".