259378560 has 288 divisors, whose sum is σ = 1043031600. Its totient is φ = 59222016.

The previous prime is 259378541. The next prime is 259378579. The reversal of 259378560 is 65873952.

It is a happy number.

259378560 is a `hidden beast` number, since 2 + 59 + 37 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (259378541) and next prime (259378579).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 281781 + ... + 282699.

Almost surely, 2^259378560 is an apocalyptic number.

259378560 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 259378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521515800).

259378560 is an abundant number, since it is smaller than the sum of its proper divisors (783653040).

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

259378560 is a wasteful number, since it uses less digits than its factorization.

259378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 259378560 is about 16105.2339318620. The cubic root of 259378560 is about 637.7415186384.

The spelling of 259378560 in words is "two hundred fifty-nine million, three hundred seventy-eight thousand, five hundred sixty".