259294480 has 40 divisors (see below), whose sum is σ = 605151000. Its totient is φ = 103323648.

The previous prime is 259294417. The next prime is 259294493. The reversal of 259294480 is 84492952.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6230016 + 253064464 = 2496^2 + 15908^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×259294480³ (a number of 26 digits) contains 333 as substring.

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, 15496 + ... + 27544.

It is an arithmetic number, because the mean of its divisors is an integer number (15128775).

Almost surely, 2^259294480 is an apocalyptic number.

259294480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259294480 is an abundant number, since it is smaller than the sum of its proper divisors (345856520).

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

259294480 is a wasteful number, since it uses less digits than its factorization.

259294480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12331 (or 12325 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 259294480 is about 16102.6233887525. The cubic root of 259294480 is about 637.6726012204.

The spelling of 259294480 in words is "two hundred fifty-nine million, two hundred ninety-four thousand, four hundred eighty".