259804440 has 192 divisors, whose sum is σ = 973589760. Its totient is φ = 58855680.

The previous prime is 259804427. The next prime is 259804469. The reversal of 259804440 is 44408952.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 259804395 and 259804404.

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, 329727 + ... + 330513.

It is an arithmetic number, because the mean of its divisors is an integer number (5070780).

Almost surely, 2^259804440 is an apocalyptic number.

259804440 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 259804440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486794880).

259804440 is an abundant number, since it is smaller than the sum of its proper divisors (713785320).

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

259804440 is a wasteful number, since it uses less digits than its factorization.

259804440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 259804440 is about 16118.4502977178. The cubic root of 259804440 is about 638.0903689106.

The spelling of 259804440 in words is "two hundred fifty-nine million, eight hundred four thousand, four hundred forty".