259683840 has 480 divisors, whose sum is σ = 1055244960. Its totient is φ = 60162048.

The previous prime is 259683829. The next prime is 259683863. The reversal of 259683840 is 48386952.

259683840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15275512 + ... + 15275528.

It is an arithmetic number, because the mean of its divisors is an integer number (2198427).

Almost surely, 2^259683840 is an apocalyptic number.

259683840 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 259683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527622480).

259683840 is an abundant number, since it is smaller than the sum of its proper divisors (795561120).

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

259683840 is a wasteful number, since it uses less digits than its factorization.

259683840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 259683840 is about 16114.7088090353. The cubic root of 259683840 is about 637.9916207794.

It can be divided in two parts, 2596 and 83840, that added together give a square (86436 = 294²).

The spelling of 259683840 in words is "two hundred fifty-nine million, six hundred eighty-three thousand, eight hundred forty".