259458396480 has 280 divisors, whose sum is σ = 929147214600. Its totient is φ = 68723527680.

The previous prime is 259458396469. The next prime is 259458396487. The reversal of 259458396480 is 84693854952.

259458396480 is a `hidden beast` number, since 2 + 5 + 9 + 4 + 583 + 9 + 6 + 48 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50689820736 + 208768575744 = 225144^2 + 456912^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259458396487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3828490 + ... + 3895670.

Almost surely, 2^259458396480 is an apocalyptic number.

259458396480 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 259458396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464573607300).

259458396480 is an abundant number, since it is smaller than the sum of its proper divisors (669688818120).

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

259458396480 is a wasteful number, since it uses less digits than its factorization.

259458396480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67359 (or 67340 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 259458396480 in words is "two hundred fifty-nine billion, four hundred fifty-eight million, three hundred ninety-six thousand, four hundred eighty".