259280000 has 160 divisors (see below), whose sum is σ = 739263360. Its totient is φ = 88704000.

The previous prime is 259279991. The next prime is 259280003. The reversal of 259280000 is 82952.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×259280000² = 134452236800000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (259280003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 559769 + ... + 560231.

It is an arithmetic number, because the mean of its divisors is an integer number (4620396).

Almost surely, 2^259280000 is an apocalyptic number.

259280000 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 259280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369631680).

259280000 is an abundant number, since it is smaller than the sum of its proper divisors (479983360).

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

259280000 is an frugal number, since it uses more digits than its factorization.

259280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 259280000 is about 16102.1737662963. The cubic root of 259280000 is about 637.6607309701.

It can be divided in two parts, 2592 and 80000, that multiplied together give a 4-th power (207360000 = 120⁴).

The spelling of 259280000 in words is "two hundred fifty-nine million, two hundred eighty thousand".