259663040 has 224 divisors, whose sum is σ = 784823424. Its totient is φ = 79626240.

The previous prime is 259663007. The next prime is 259663069. The reversal of 259663040 is 40366952.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1077320 + ... + 1077560.

It is an arithmetic number, because the mean of its divisors is an integer number (3503676).

Almost surely, 2^259663040 is an apocalyptic number.

259663040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392411712).

259663040 is an abundant number, since it is smaller than the sum of its proper divisors (525160384).

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

259663040 is a wasteful number, since it uses less digits than its factorization.

259663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 259663040 is about 16114.0634229855. The cubic root of 259663040 is about 637.9745865016.

The spelling of 259663040 in words is "two hundred fifty-nine million, six hundred sixty-three thousand, forty".