259389240 has 256 divisors, whose sum is σ = 898283520. Its totient is φ = 59351040.

The previous prime is 259389233. The next prime is 259389241. The reversal of 259389240 is 42983952.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 259389192 and 259389201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259389241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2295424 + ... + 2295536.

It is an arithmetic number, because the mean of its divisors is an integer number (3508920).

Almost surely, 2^259389240 is an apocalyptic number.

259389240 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 259389240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449141760).

259389240 is an abundant number, since it is smaller than the sum of its proper divisors (638894280).

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

259389240 is a wasteful number, since it uses less digits than its factorization.

259389240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 259389240 is about 16105.5654976781. The cubic root of 259389240 is about 637.7502715925.

The spelling of 259389240 in words is "two hundred fifty-nine million, three hundred eighty-nine thousand, two hundred forty".