259502040 has 288 divisors, whose sum is σ = 1005151680. Its totient is φ = 57867264.

The previous prime is 259502029. The next prime is 259502041. The reversal of 259502040 is 40205952.

It is a junction number, because it is equal to n+sod(n) for n = 259501995 and 259502013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259502041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 828924 + ... + 829236.

It is an arithmetic number, because the mean of its divisors is an integer number (3490110).

Almost surely, 2^259502040 is an apocalyptic number.

259502040 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 259502040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502575840).

259502040 is an abundant number, since it is smaller than the sum of its proper divisors (745649640).

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

259502040 is a wasteful number, since it uses less digits than its factorization.

259502040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 259502040 is about 16109.0670120898. The cubic root of 259502040 is about 637.8427038580.

Adding to 259502040 its reverse (40205952), we get a palindrome (299707992).

The spelling of 259502040 in words is "two hundred fifty-nine million, five hundred two thousand, forty".