259396800 has 168 divisors, whose sum is σ = 916722576. Its totient is φ = 63836160.

The previous prime is 259396799. The next prime is 259396801. The reversal of 259396800 is 8693952.

It is an interprime number because it is at equal distance from previous prime (259396799) and next prime (259396801).

It is not an unprimeable number, because it can be changed into a prime (259396801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 60322 + ... + 64478.

It is an arithmetic number, because the mean of its divisors is an integer number (5456682).

Almost surely, 2^259396800 is an apocalyptic number.

259396800 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 259396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458361288).

259396800 is an abundant number, since it is smaller than the sum of its proper divisors (657325776).

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

259396800 is a wasteful number, since it uses less digits than its factorization.

259396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 259396800 is about 16105.8001974444. The cubic root of 259396800 is about 637.7564673587.

The spelling of 259396800 in words is "two hundred fifty-nine million, three hundred ninety-six thousand, eight hundred".