259920000 has 360 divisors, whose sum is σ = 986414715. Its totient is φ = 65664000.

The previous prime is 259919977. The next prime is 259920053. The reversal of 259920000 is 29952.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 60093504 + 199826496 = 7752^2 + 14136^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=11400.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13679991 + ... + 13680009.

Almost surely, 2^259920000 is an apocalyptic number.

259920000 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 259920000

259920000 is an abundant number, since it is smaller than the sum of its proper divisors (726494715).

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

259920000 is an equidigital number, since it uses as much as digits as its factorization.

259920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 259920000 is about 16122.0346110533. The cubic root of 259920000 is about 638.1849615883.

Adding to 259920000 its reverse (29952), we get a palindrome (259949952).

The spelling of 259920000 in words is "two hundred fifty-nine million, nine hundred twenty thousand".