259449120 has 216 divisors, whose sum is σ = 1030200444. Its totient is φ = 59286528.

The previous prime is 259449097. The next prime is 259449139. The reversal of 259449120 is 21944952.

259449120 is a `hidden beast` number, since 2 + 594 + 49 + 1 + 20 = 666.

259449120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 257409936 + 2039184 = 16044^2 + 1428^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68722 + ... + 72398.

Almost surely, 2^259449120 is an apocalyptic number.

259449120 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 259449120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515100222).

259449120 is an abundant number, since it is smaller than the sum of its proper divisors (770751324).

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

259449120 is a wasteful number, since it uses less digits than its factorization.

259449120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3712 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 259449120 is about 16107.4243751135. The cubic root of 259449120 is about 637.7993426952.

The spelling of 259449120 in words is "two hundred fifty-nine million, four hundred forty-nine thousand, one hundred twenty".