259896000 has 672 divisors, whose sum is σ = 1138318272. Its totient is φ = 51609600.

The previous prime is 259895969. The next prime is 259896031. The reversal of 259896000 is 698952.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (259895969) and next prime (259896031).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 259896000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15287992 + ... + 15288008.

It is an arithmetic number, because the mean of its divisors is an integer number (1693926).

Almost surely, 2^259896000 is an apocalyptic number.

259896000 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 259896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569159136).

259896000 is an abundant number, since it is smaller than the sum of its proper divisors (878422272).

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

259896000 is a wasteful number, since it uses less digits than its factorization.

259896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 259896000 is about 16121.2902709430. The cubic root of 259896000 is about 638.1653184795.

The spelling of 259896000 in words is "two hundred fifty-nine million, eight hundred ninety-six thousand".