259998480 has 240 divisors, whose sum is σ = 1012078080. Its totient is φ = 58586112.

The previous prime is 259998469. The next prime is 259998491. The reversal of 259998480 is 84899952.

259998480 is a `hidden beast` number, since 2 + 599 + 9 + 8 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (259998469) and next prime (259998491).

It is a tau number, because it is divible by the number of its divisors (240).

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, 397834 + ... + 398486.

It is an arithmetic number, because the mean of its divisors is an integer number (4216992).

Almost surely, 2^259998480 is an apocalyptic number.

259998480 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 259998480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506039040).

259998480 is an abundant number, since it is smaller than the sum of its proper divisors (752079600).

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

259998480 is a wasteful number, since it uses less digits than its factorization.

259998480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 749 counting only the distinct ones).

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

The square root of 259998480 is about 16124.4683633291. The cubic root of 259998480 is about 638.2491861135.

The spelling of 259998480 in words is "two hundred fifty-nine million, nine hundred ninety-eight thousand, four hundred eighty".