259021440 has 192 divisors, whose sum is σ = 902926440. Its totient is φ = 68419584.

The previous prime is 259021429. The next prime is 259021463. The reversal of 259021440 is 44120952.

It can be written as a sum of positive squares in 4 ways, for example, as 136609344 + 122412096 = 11688^2 + 11064^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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, 1111564 + ... + 1111796.

Almost surely, 2^259021440 is an apocalyptic number.

259021440 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 259021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451463220).

259021440 is an abundant number, since it is smaller than the sum of its proper divisors (643905000).

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

259021440 is a wasteful number, since it uses less digits than its factorization.

259021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 259021440 is about 16094.1430340357. The cubic root of 259021440 is about 637.4486971403.

The spelling of 259021440 in words is "two hundred fifty-nine million, twenty-one thousand, four hundred forty".