259988940 has 180 divisors, whose sum is σ = 847799568. Its totient is φ = 66692160.

The previous prime is 259988917. The next prime is 259988957. The reversal of 259988940 is 49889952.

259988940 is a `hidden beast` number, since 2 + 599 + 8 + 8 + 9 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1556737 + ... + 1556903.

Almost surely, 2^259988940 is an apocalyptic number.

259988940 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 259988940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423899784).

259988940 is an abundant number, since it is smaller than the sum of its proper divisors (587810628).

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

259988940 is a wasteful number, since it uses less digits than its factorization.

259988940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 259988940 is about 16124.1725369087. The cubic root of 259988940 is about 638.2413796939.

The spelling of 259988940 in words is "two hundred fifty-nine million, nine hundred eighty-eight thousand, nine hundred forty".