259798000 has 240 divisors, whose sum is σ = 800493408. Its totient is φ = 80640000.

The previous prime is 259797977. The next prime is 259798013. The reversal of 259798000 is 897952.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1077880 + ... + 1078120.

Almost surely, 2^259798000 is an apocalyptic number.

259798000 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 259798000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400246704).

259798000 is an abundant number, since it is smaller than the sum of its proper divisors (540695408).

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

259798000 is a wasteful number, since it uses less digits than its factorization.

259798000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 259798000 is about 16118.2505254137. The cubic root of 259798000 is about 638.0850965656.

The spelling of 259798000 in words is "two hundred fifty-nine million, seven hundred ninety-eight thousand".