259933440 has 288 divisors, whose sum is σ = 923037696. Its totient is φ = 61931520.

The previous prime is 259933411. The next prime is 259933447. The reversal of 259933440 is 44339952.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259933447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2046657 + ... + 2046783.

It is an arithmetic number, because the mean of its divisors is an integer number (3204992).

Almost surely, 2^259933440 is an apocalyptic number.

259933440 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 259933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461518848).

259933440 is an abundant number, since it is smaller than the sum of its proper divisors (663104256).

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

259933440 is a wasteful number, since it uses less digits than its factorization.

259933440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 259933440 is about 16122.4514265046. The cubic root of 259933440 is about 638.1959612010.

The spelling of 259933440 in words is "two hundred fifty-nine million, nine hundred thirty-three thousand, four hundred forty".