259009488 has 50 divisors (see below), whose sum is σ = 749652354. Its totient is φ = 86336064.

The previous prime is 259009481. The next prime is 259009519. The reversal of 259009488 is 884900952.

259009488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 253191744 + 5817744 = 15912^2 + 2412^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259009481) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 98631 + ... + 101222.

Almost surely, 2^259009488 is an apocalyptic number.

It is an amenable number.

259009488 is an abundant number, since it is smaller than the sum of its proper divisors (490642866).

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

259009488 is a wasteful number, since it uses less digits than its factorization.

259009488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199873 (or 199858 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 259009488 is about 16093.7717145485. The cubic root of 259009488 is about 637.4388924126.

The spelling of 259009488 in words is "two hundred fifty-nine million, nine thousand, four hundred eighty-eight".