259938240 has 112 divisors (see below), whose sum is σ = 868801920. Its totient is φ = 65664000.

The previous prime is 259938227. The next prime is 259938241. The reversal of 259938240 is 42839952.

It is a super-2 number, since 2×259938240² = 135135777228595200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 259938192 and 259938201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259938241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11115 + ... + 25365.

It is an arithmetic number, because the mean of its divisors is an integer number (7757160).

Almost surely, 2^259938240 is an apocalyptic number.

259938240 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 259938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434400960).

259938240 is an abundant number, since it is smaller than the sum of its proper divisors (608863680).

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

259938240 is a wasteful number, since it uses less digits than its factorization.

259938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14290 (or 14280 counting only the distinct ones).

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

The square root of 259938240 is about 16122.6002865543. The cubic root of 259938240 is about 638.1998895423.

The spelling of 259938240 in words is "two hundred fifty-nine million, nine hundred thirty-eight thousand, two hundred forty".