259534080 has 216 divisors, whose sum is σ = 967592808. Its totient is φ = 63848448.

The previous prime is 259534063. The next prime is 259534109. The reversal of 259534080 is 80435952.

It can be written as a sum of positive squares in 4 ways, for example, as 2509056 + 257025024 = 1584^2 + 16032^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148894 + ... + 150626.

Almost surely, 2^259534080 is an apocalyptic number.

259534080 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 259534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483796404).

259534080 is an abundant number, since it is smaller than the sum of its proper divisors (708058728).

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

259534080 is a wasteful number, since it uses less digits than its factorization.

259534080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 259534080 is about 16110.0614523968. The cubic root of 259534080 is about 637.8689536699.

The spelling of 259534080 in words is "two hundred fifty-nine million, five hundred thirty-four thousand, eighty".